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Finding the Third Proportional to 81,292 and 177,285

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Solution

The third proportional to 81,292 and 177,285 is: 386,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,292 : 177,285 = 177,285 : x
  2. Step 2: Convert to fraction form
    81,292/177,285 = 177,285/x
  3. Step 3: Cross multiply
    81,292x = 177,285 × 177,285
  4. Step 4: Simplify right side
    81,292x = 31,429,971,225
  5. Step 5: Solve for x
    x = 31,429,971,225/81,292
  6. Step 6: Final answer
    x = 386,630.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.