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Finding the Third Proportional to 138,942 and 215,277

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Solution

The third proportional to 138,942 and 215,277 is: 333,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,942 : 215,277 = 215,277 : x
  2. Step 2: Convert to fraction form
    138,942/215,277 = 215,277/x
  3. Step 3: Cross multiply
    138,942x = 215,277 × 215,277
  4. Step 4: Simplify right side
    138,942x = 46,344,186,729
  5. Step 5: Solve for x
    x = 46,344,186,729/138,942
  6. Step 6: Final answer
    x = 333,550.59

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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.