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Finding the Third Proportional to 71,682 and 151,902

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Solution

The third proportional to 71,682 and 151,902 is: 321,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682 : 151,902 = 151,902 : x
  2. Step 2: Convert to fraction form
    71,682/151,902 = 151,902/x
  3. Step 3: Cross multiply
    71,682x = 151,902 × 151,902
  4. Step 4: Simplify right side
    71,682x = 23,074,217,604
  5. Step 5: Solve for x
    x = 23,074,217,604/71,682
  6. Step 6: Final answer
    x = 321,896.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.