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Finding the Third Proportional to 82,890 and 177,414

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Solution

The third proportional to 82,890 and 177,414 is: 379,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,890 : 177,414 = 177,414 : x
  2. Step 2: Convert to fraction form
    82,890/177,414 = 177,414/x
  3. Step 3: Cross multiply
    82,890x = 177,414 × 177,414
  4. Step 4: Simplify right side
    82,890x = 31,475,727,396
  5. Step 5: Solve for x
    x = 31,475,727,396/82,890
  6. Step 6: Final answer
    x = 379,728.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.