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Finding the Third Proportional to 75,306 and 156,849

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Solution

The third proportional to 75,306 and 156,849 is: 326,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,306 : 156,849 = 156,849 : x
  2. Step 2: Convert to fraction form
    75,306/156,849 = 156,849/x
  3. Step 3: Cross multiply
    75,306x = 156,849 × 156,849
  4. Step 4: Simplify right side
    75,306x = 24,601,608,801
  5. Step 5: Solve for x
    x = 24,601,608,801/75,306
  6. Step 6: Final answer
    x = 326,688.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.