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Finding the Third Proportional to 71,318 and 141,357

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Solution

The third proportional to 71,318 and 141,357 is: 280,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,318 : 141,357 = 141,357 : x
  2. Step 2: Convert to fraction form
    71,318/141,357 = 141,357/x
  3. Step 3: Cross multiply
    71,318x = 141,357 × 141,357
  4. Step 4: Simplify right side
    71,318x = 19,981,801,449
  5. Step 5: Solve for x
    x = 19,981,801,449/71,318
  6. Step 6: Final answer
    x = 280,178.94

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.