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Finding the Third Proportional to 137,024 and 215,249

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Solution

The third proportional to 137,024 and 215,249 is: 338,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,024 : 215,249 = 215,249 : x
  2. Step 2: Convert to fraction form
    137,024/215,249 = 215,249/x
  3. Step 3: Cross multiply
    137,024x = 215,249 × 215,249
  4. Step 4: Simplify right side
    137,024x = 46,332,132,001
  5. Step 5: Solve for x
    x = 46,332,132,001/137,024
  6. Step 6: Final answer
    x = 338,131.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.