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Finding the Third Proportional to 60,015 and 129,264

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Solution

The third proportional to 60,015 and 129,264 is: 278,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,015 : 129,264 = 129,264 : x
  2. Step 2: Convert to fraction form
    60,015/129,264 = 129,264/x
  3. Step 3: Cross multiply
    60,015x = 129,264 × 129,264
  4. Step 4: Simplify right side
    60,015x = 16,709,181,696
  5. Step 5: Solve for x
    x = 16,709,181,696/60,015
  6. Step 6: Final answer
    x = 278,416.76

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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.