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Finding the Third Proportional to 81,373 and 121,624

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Solution

The third proportional to 81,373 and 121,624 is: 181,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,373 : 121,624 = 121,624 : x
  2. Step 2: Convert to fraction form
    81,373/121,624 = 121,624/x
  3. Step 3: Cross multiply
    81,373x = 121,624 × 121,624
  4. Step 4: Simplify right side
    81,373x = 14,792,397,376
  5. Step 5: Solve for x
    x = 14,792,397,376/81,373
  6. Step 6: Final answer
    x = 181,785.08

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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.