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Finding the Third Proportional to 424,465.31 and 642,165.47

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Solution

The third proportional to 424,465.31 and 642,165.47 is: 971,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,465.31 : 642,165.47 = 642,165.47 : x
  2. Step 2: Convert to fraction form
    424,465.31/642,165.47 = 642,165.47/x
  3. Step 3: Cross multiply
    424,465.31x = 642,165.47 × 642,165.47
  4. Step 4: Simplify right side
    424,465.31x = 412,376,489,254.91
  5. Step 5: Solve for x
    x = 412,376,489,254.91/424,465.31
  6. Step 6: Final answer
    x = 971,519.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.