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Finding the Third Proportional to 177,138 and 281,691

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Solution

The third proportional to 177,138 and 281,691 is: 447,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,138 : 281,691 = 281,691 : x
  2. Step 2: Convert to fraction form
    177,138/281,691 = 281,691/x
  3. Step 3: Cross multiply
    177,138x = 281,691 × 281,691
  4. Step 4: Simplify right side
    177,138x = 79,349,819,481
  5. Step 5: Solve for x
    x = 79,349,819,481/177,138
  6. Step 6: Final answer
    x = 447,954.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.