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Finding the Third Proportional to 60,356 and 129,478

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Solution

The third proportional to 60,356 and 129,478 is: 277,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,356 : 129,478 = 129,478 : x
  2. Step 2: Convert to fraction form
    60,356/129,478 = 129,478/x
  3. Step 3: Cross multiply
    60,356x = 129,478 × 129,478
  4. Step 4: Simplify right side
    60,356x = 16,764,552,484
  5. Step 5: Solve for x
    x = 16,764,552,484/60,356
  6. Step 6: Final answer
    x = 277,761.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.