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Finding the Third Proportional to 82,147 and 177,403

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Solution

The third proportional to 82,147 and 177,403 is: 383,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,147 : 177,403 = 177,403 : x
  2. Step 2: Convert to fraction form
    82,147/177,403 = 177,403/x
  3. Step 3: Cross multiply
    82,147x = 177,403 × 177,403
  4. Step 4: Simplify right side
    82,147x = 31,471,824,409
  5. Step 5: Solve for x
    x = 31,471,824,409/82,147
  6. Step 6: Final answer
    x = 383,115.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.