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Finding the Third Proportional to 387,490.50 and 821,076

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Solution

The third proportional to 387,490.50 and 821,076 is: 1,739,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,490.50 : 821,076 = 821,076 : x
  2. Step 2: Convert to fraction form
    387,490.50/821,076 = 821,076/x
  3. Step 3: Cross multiply
    387,490.50x = 821,076 × 821,076
  4. Step 4: Simplify right side
    387,490.50x = 674,165,797,776
  5. Step 5: Solve for x
    x = 674,165,797,776/387,490.50
  6. Step 6: Final answer
    x = 1,739,825.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.