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Finding the Third Proportional to 129,024 and 138,865

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Solution

The third proportional to 129,024 and 138,865 is: 149,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,024 : 138,865 = 138,865 : x
  2. Step 2: Convert to fraction form
    129,024/138,865 = 138,865/x
  3. Step 3: Cross multiply
    129,024x = 138,865 × 138,865
  4. Step 4: Simplify right side
    129,024x = 19,283,488,225
  5. Step 5: Solve for x
    x = 19,283,488,225/129,024
  6. Step 6: Final answer
    x = 149,456.60

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.