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Finding the Third Proportional to 261,898 and 392,414

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Solution

The third proportional to 261,898 and 392,414 is: 587,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,898 : 392,414 = 392,414 : x
  2. Step 2: Convert to fraction form
    261,898/392,414 = 392,414/x
  3. Step 3: Cross multiply
    261,898x = 392,414 × 392,414
  4. Step 4: Simplify right side
    261,898x = 153,988,747,396
  5. Step 5: Solve for x
    x = 153,988,747,396/261,898
  6. Step 6: Final answer
    x = 587,972.22

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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.