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Finding the Third Proportional to 138,591 and 209,136

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Solution

The third proportional to 138,591 and 209,136 is: 315,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,591 : 209,136 = 209,136 : x
  2. Step 2: Convert to fraction form
    138,591/209,136 = 209,136/x
  3. Step 3: Cross multiply
    138,591x = 209,136 × 209,136
  4. Step 4: Simplify right side
    138,591x = 43,737,866,496
  5. Step 5: Solve for x
    x = 43,737,866,496/138,591
  6. Step 6: Final answer
    x = 315,589.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.