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Finding the Third Proportional to 81,253 and 177,086

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Solution

The third proportional to 81,253 and 177,086 is: 385,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,253 : 177,086 = 177,086 : x
  2. Step 2: Convert to fraction form
    81,253/177,086 = 177,086/x
  3. Step 3: Cross multiply
    81,253x = 177,086 × 177,086
  4. Step 4: Simplify right side
    81,253x = 31,359,451,396
  5. Step 5: Solve for x
    x = 31,359,451,396/81,253
  6. Step 6: Final answer
    x = 385,948.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.