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Finding the Third Proportional to 399,554,952,921.75 and 820,291,477,874.28

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Solution

The third proportional to 399,554,952,921.75 and 820,291,477,874.28 is: 1,684,068,996,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,554,952,921.75 : 820,291,477,874.28 = 820,291,477,874.28 : x
  2. Step 2: Convert to fraction form
    399,554,952,921.75/820,291,477,874.28 = 820,291,477,874.28/x
  3. Step 3: Cross multiply
    399,554,952,921.75x = 820,291,477,874.28 × 820,291,477,874.28
  4. Step 4: Simplify right side
    399,554,952,921.75x = 672,878,108,673,170,479,251,456
  5. Step 5: Solve for x
    x = 672,878,108,673,170,479,251,456/399,554,952,921.75
  6. Step 6: Final answer
    x = 1,684,068,996,649.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.