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Finding the Third Proportional to 136,960 and 217,320

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Solution

The third proportional to 136,960 and 217,320 is: 344,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,960 : 217,320 = 217,320 : x
  2. Step 2: Convert to fraction form
    136,960/217,320 = 217,320/x
  3. Step 3: Cross multiply
    136,960x = 217,320 × 217,320
  4. Step 4: Simplify right side
    136,960x = 47,227,982,400
  5. Step 5: Solve for x
    x = 47,227,982,400/136,960
  6. Step 6: Final answer
    x = 344,830.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.