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Finding the Third Proportional to 71,570 and 161,402

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Solution

The third proportional to 71,570 and 161,402 is: 363,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570 : 161,402 = 161,402 : x
  2. Step 2: Convert to fraction form
    71,570/161,402 = 161,402/x
  3. Step 3: Cross multiply
    71,570x = 161,402 × 161,402
  4. Step 4: Simplify right side
    71,570x = 26,050,605,604
  5. Step 5: Solve for x
    x = 26,050,605,604/71,570
  6. Step 6: Final answer
    x = 363,987.78

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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.