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Finding the Third Proportional to 642,498 and 940,701

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Solution

The third proportional to 642,498 and 940,701 is: 1,377,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,498 : 940,701 = 940,701 : x
  2. Step 2: Convert to fraction form
    642,498/940,701 = 940,701/x
  3. Step 3: Cross multiply
    642,498x = 940,701 × 940,701
  4. Step 4: Simplify right side
    642,498x = 884,918,371,401
  5. Step 5: Solve for x
    x = 884,918,371,401/642,498
  6. Step 6: Final answer
    x = 1,377,309.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.