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Finding the Third Proportional to 91,398 and 138,249

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Solution

The third proportional to 91,398 and 138,249 is: 209,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,398 : 138,249 = 138,249 : x
  2. Step 2: Convert to fraction form
    91,398/138,249 = 138,249/x
  3. Step 3: Cross multiply
    91,398x = 138,249 × 138,249
  4. Step 4: Simplify right side
    91,398x = 19,112,786,001
  5. Step 5: Solve for x
    x = 19,112,786,001/91,398
  6. Step 6: Final answer
    x = 209,116.02

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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.