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Finding the Third Proportional to 81,229 and 168,958

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Solution

The third proportional to 81,229 and 168,958 is: 351,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,229 : 168,958 = 168,958 : x
  2. Step 2: Convert to fraction form
    81,229/168,958 = 168,958/x
  3. Step 3: Cross multiply
    81,229x = 168,958 × 168,958
  4. Step 4: Simplify right side
    81,229x = 28,546,805,764
  5. Step 5: Solve for x
    x = 28,546,805,764/81,229
  6. Step 6: Final answer
    x = 351,436.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.