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Finding the Third Proportional to 81,374 and 121,981

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Solution

The third proportional to 81,374 and 121,981 is: 182,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,374 : 121,981 = 121,981 : x
  2. Step 2: Convert to fraction form
    81,374/121,981 = 121,981/x
  3. Step 3: Cross multiply
    81,374x = 121,981 × 121,981
  4. Step 4: Simplify right side
    81,374x = 14,879,364,361
  5. Step 5: Solve for x
    x = 14,879,364,361/81,374
  6. Step 6: Final answer
    x = 182,851.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.