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Finding the Third Proportional to 140,167 and 217,634

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Solution

The third proportional to 140,167 and 217,634 is: 337,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,167 : 217,634 = 217,634 : x
  2. Step 2: Convert to fraction form
    140,167/217,634 = 217,634/x
  3. Step 3: Cross multiply
    140,167x = 217,634 × 217,634
  4. Step 4: Simplify right side
    140,167x = 47,364,557,956
  5. Step 5: Solve for x
    x = 47,364,557,956/140,167
  6. Step 6: Final answer
    x = 337,915.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.