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Finding the Third Proportional to 295,883,967.75 and 643,268,121.50

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Solution

The third proportional to 295,883,967.75 and 643,268,121.50 is: 1,398,500,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,883,967.75 : 643,268,121.50 = 643,268,121.50 : x
  2. Step 2: Convert to fraction form
    295,883,967.75/643,268,121.50 = 643,268,121.50/x
  3. Step 3: Cross multiply
    295,883,967.75x = 643,268,121.50 × 643,268,121.50
  4. Step 4: Simplify right side
    295,883,967.75x = 413,793,876,138,138,752
  5. Step 5: Solve for x
    x = 413,793,876,138,138,752/295,883,967.75
  6. Step 6: Final answer
    x = 1,398,500,497.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.