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Finding the Third Proportional to 71,464 and 161,137

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Solution

The third proportional to 71,464 and 161,137 is: 363,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464 : 161,137 = 161,137 : x
  2. Step 2: Convert to fraction form
    71,464/161,137 = 161,137/x
  3. Step 3: Cross multiply
    71,464x = 161,137 × 161,137
  4. Step 4: Simplify right side
    71,464x = 25,965,132,769
  5. Step 5: Solve for x
    x = 25,965,132,769/71,464
  6. Step 6: Final answer
    x = 363,331.65

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.