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Finding the Third Proportional to 121,098 and 179,919

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Solution

The third proportional to 121,098 and 179,919 is: 267,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,098 : 179,919 = 179,919 : x
  2. Step 2: Convert to fraction form
    121,098/179,919 = 179,919/x
  3. Step 3: Cross multiply
    121,098x = 179,919 × 179,919
  4. Step 4: Simplify right side
    121,098x = 32,370,846,561
  5. Step 5: Solve for x
    x = 32,370,846,561/121,098
  6. Step 6: Final answer
    x = 267,311.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.