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Finding the Third Proportional to 83,286 and 122,724

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Solution

The third proportional to 83,286 and 122,724 is: 180,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286 : 122,724 = 122,724 : x
  2. Step 2: Convert to fraction form
    83,286/122,724 = 122,724/x
  3. Step 3: Cross multiply
    83,286x = 122,724 × 122,724
  4. Step 4: Simplify right side
    83,286x = 15,061,180,176
  5. Step 5: Solve for x
    x = 15,061,180,176/83,286
  6. Step 6: Final answer
    x = 180,836.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.