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Finding the Third Proportional to 135,432 and 206,586

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Solution

The third proportional to 135,432 and 206,586 is: 315,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,432 : 206,586 = 206,586 : x
  2. Step 2: Convert to fraction form
    135,432/206,586 = 206,586/x
  3. Step 3: Cross multiply
    135,432x = 206,586 × 206,586
  4. Step 4: Simplify right side
    135,432x = 42,677,775,396
  5. Step 5: Solve for x
    x = 42,677,775,396/135,432
  6. Step 6: Final answer
    x = 315,123.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.