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Finding the Third Proportional to 80,354 and 121,251

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Solution

The third proportional to 80,354 and 121,251 is: 182,962.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,354 : 121,251 = 121,251 : x
  2. Step 2: Convert to fraction form
    80,354/121,251 = 121,251/x
  3. Step 3: Cross multiply
    80,354x = 121,251 × 121,251
  4. Step 4: Simplify right side
    80,354x = 14,701,805,001
  5. Step 5: Solve for x
    x = 14,701,805,001/80,354
  6. Step 6: Final answer
    x = 182,962.95

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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.