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Finding the Third Proportional to 431,755.31 and 647,681.06

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Solution

The third proportional to 431,755.31 and 647,681.06 is: 971,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,755.31 : 647,681.06 = 647,681.06 : x
  2. Step 2: Convert to fraction form
    431,755.31/647,681.06 = 647,681.06/x
  3. Step 3: Cross multiply
    431,755.31x = 647,681.06 × 647,681.06
  4. Step 4: Simplify right side
    431,755.31x = 419,490,758,721.13
  5. Step 5: Solve for x
    x = 419,490,758,721.13/431,755.31
  6. Step 6: Final answer
    x = 971,593.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.