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Finding the Third Proportional to 81,217 and 125,518

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Solution

The third proportional to 81,217 and 125,518 is: 193,983.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,217 : 125,518 = 125,518 : x
  2. Step 2: Convert to fraction form
    81,217/125,518 = 125,518/x
  3. Step 3: Cross multiply
    81,217x = 125,518 × 125,518
  4. Step 4: Simplify right side
    81,217x = 15,754,768,324
  5. Step 5: Solve for x
    x = 15,754,768,324/81,217
  6. Step 6: Final answer
    x = 193,983.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.