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Finding the Third Proportional to 71,872 and 151,186

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Solution

The third proportional to 71,872 and 151,186 is: 318,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872 : 151,186 = 151,186 : x
  2. Step 2: Convert to fraction form
    71,872/151,186 = 151,186/x
  3. Step 3: Cross multiply
    71,872x = 151,186 × 151,186
  4. Step 4: Simplify right side
    71,872x = 22,857,206,596
  5. Step 5: Solve for x
    x = 22,857,206,596/71,872
  6. Step 6: Final answer
    x = 318,026.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.