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Finding the Third Proportional to 83,228 and 121,727

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Solution

The third proportional to 83,228 and 121,727 is: 178,034.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,228 : 121,727 = 121,727 : x
  2. Step 2: Convert to fraction form
    83,228/121,727 = 121,727/x
  3. Step 3: Cross multiply
    83,228x = 121,727 × 121,727
  4. Step 4: Simplify right side
    83,228x = 14,817,462,529
  5. Step 5: Solve for x
    x = 14,817,462,529/83,228
  6. Step 6: Final answer
    x = 178,034.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.