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Finding the Third Proportional to 29,115 and 62,385

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Solution

The third proportional to 29,115 and 62,385 is: 133,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,115 : 62,385 = 62,385 : x
  2. Step 2: Convert to fraction form
    29,115/62,385 = 62,385/x
  3. Step 3: Cross multiply
    29,115x = 62,385 × 62,385
  4. Step 4: Simplify right side
    29,115x = 3,891,888,225
  5. Step 5: Solve for x
    x = 3,891,888,225/29,115
  6. Step 6: Final answer
    x = 133,672.96

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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.