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Finding the Third Proportional to 71,469 and 161,620

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Solution

The third proportional to 71,469 and 161,620 is: 365,487.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,469 : 161,620 = 161,620 : x
  2. Step 2: Convert to fraction form
    71,469/161,620 = 161,620/x
  3. Step 3: Cross multiply
    71,469x = 161,620 × 161,620
  4. Step 4: Simplify right side
    71,469x = 26,121,024,400
  5. Step 5: Solve for x
    x = 26,121,024,400/71,469
  6. Step 6: Final answer
    x = 365,487.48

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.