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Finding the Third Proportional to 71,464 and 144,872

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Solution

The third proportional to 71,464 and 144,872 is: 293,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464 : 144,872 = 144,872 : x
  2. Step 2: Convert to fraction form
    71,464/144,872 = 144,872/x
  3. Step 3: Cross multiply
    71,464x = 144,872 × 144,872
  4. Step 4: Simplify right side
    71,464x = 20,987,896,384
  5. Step 5: Solve for x
    x = 20,987,896,384/71,464
  6. Step 6: Final answer
    x = 293,684.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.