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Finding the Third Proportional to 55,192 and 85,439

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Solution

The third proportional to 55,192 and 85,439 is: 132,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,192 : 85,439 = 85,439 : x
  2. Step 2: Convert to fraction form
    55,192/85,439 = 85,439/x
  3. Step 3: Cross multiply
    55,192x = 85,439 × 85,439
  4. Step 4: Simplify right side
    55,192x = 7,299,822,721
  5. Step 5: Solve for x
    x = 7,299,822,721/55,192
  6. Step 6: Final answer
    x = 132,262.33

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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.