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Finding the Third Proportional to 91,549 and 138,614

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Solution

The third proportional to 91,549 and 138,614 is: 209,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,549 : 138,614 = 138,614 : x
  2. Step 2: Convert to fraction form
    91,549/138,614 = 138,614/x
  3. Step 3: Cross multiply
    91,549x = 138,614 × 138,614
  4. Step 4: Simplify right side
    91,549x = 19,213,840,996
  5. Step 5: Solve for x
    x = 19,213,840,996/91,549
  6. Step 6: Final answer
    x = 209,874.94

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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.