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Finding the Third Proportional to 81,338 and 176,248

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Solution

The third proportional to 81,338 and 176,248 is: 381,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,338 : 176,248 = 176,248 : x
  2. Step 2: Convert to fraction form
    81,338/176,248 = 176,248/x
  3. Step 3: Cross multiply
    81,338x = 176,248 × 176,248
  4. Step 4: Simplify right side
    81,338x = 31,063,357,504
  5. Step 5: Solve for x
    x = 31,063,357,504/81,338
  6. Step 6: Final answer
    x = 381,904.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.