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Finding the Third Proportional to 80,098 and 121,875

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Solution

The third proportional to 80,098 and 121,875 is: 185,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,098 : 121,875 = 121,875 : x
  2. Step 2: Convert to fraction form
    80,098/121,875 = 121,875/x
  3. Step 3: Cross multiply
    80,098x = 121,875 × 121,875
  4. Step 4: Simplify right side
    80,098x = 14,853,515,625
  5. Step 5: Solve for x
    x = 14,853,515,625/80,098
  6. Step 6: Final answer
    x = 185,441.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.