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Finding the Third Proportional to 81,172 and 186,418

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Solution

The third proportional to 81,172 and 186,418 is: 428,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,172 : 186,418 = 186,418 : x
  2. Step 2: Convert to fraction form
    81,172/186,418 = 186,418/x
  3. Step 3: Cross multiply
    81,172x = 186,418 × 186,418
  4. Step 4: Simplify right side
    81,172x = 34,751,670,724
  5. Step 5: Solve for x
    x = 34,751,670,724/81,172
  6. Step 6: Final answer
    x = 428,123.87

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.