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Finding the Third Proportional to 60,419 and 129,586

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Solution

The third proportional to 60,419 and 129,586 is: 277,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,419 : 129,586 = 129,586 : x
  2. Step 2: Convert to fraction form
    60,419/129,586 = 129,586/x
  3. Step 3: Cross multiply
    60,419x = 129,586 × 129,586
  4. Step 4: Simplify right side
    60,419x = 16,792,531,396
  5. Step 5: Solve for x
    x = 16,792,531,396/60,419
  6. Step 6: Final answer
    x = 277,934.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.