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Finding the Third Proportional to 138,954 and 215,292

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Solution

The third proportional to 138,954 and 215,292 is: 333,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,954 : 215,292 = 215,292 : x
  2. Step 2: Convert to fraction form
    138,954/215,292 = 215,292/x
  3. Step 3: Cross multiply
    138,954x = 215,292 × 215,292
  4. Step 4: Simplify right side
    138,954x = 46,350,645,264
  5. Step 5: Solve for x
    x = 46,350,645,264/138,954
  6. Step 6: Final answer
    x = 333,568.27

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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.