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Finding the Third Proportional to 81,287 and 173,846

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Solution

The third proportional to 81,287 and 173,846 is: 371,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,287 : 173,846 = 173,846 : x
  2. Step 2: Convert to fraction form
    81,287/173,846 = 173,846/x
  3. Step 3: Cross multiply
    81,287x = 173,846 × 173,846
  4. Step 4: Simplify right side
    81,287x = 30,222,431,716
  5. Step 5: Solve for x
    x = 30,222,431,716/81,287
  6. Step 6: Final answer
    x = 371,799.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.