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Finding the Third Proportional to 81,766 and 176,436

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Solution

The third proportional to 81,766 and 176,436 is: 380,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,766 : 176,436 = 176,436 : x
  2. Step 2: Convert to fraction form
    81,766/176,436 = 176,436/x
  3. Step 3: Cross multiply
    81,766x = 176,436 × 176,436
  4. Step 4: Simplify right side
    81,766x = 31,129,662,096
  5. Step 5: Solve for x
    x = 31,129,662,096/81,766
  6. Step 6: Final answer
    x = 380,716.46

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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.