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Finding the Third Proportional to 135,680 and 217,920

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Solution

The third proportional to 135,680 and 217,920 is: 350,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,680 : 217,920 = 217,920 : x
  2. Step 2: Convert to fraction form
    135,680/217,920 = 217,920/x
  3. Step 3: Cross multiply
    135,680x = 217,920 × 217,920
  4. Step 4: Simplify right side
    135,680x = 47,489,126,400
  5. Step 5: Solve for x
    x = 47,489,126,400/135,680
  6. Step 6: Final answer
    x = 350,008.30

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.