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Finding the Third Proportional to 81,229 and 168,959

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Solution

The third proportional to 81,229 and 168,959 is: 351,440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,229 : 168,959 = 168,959 : x
  2. Step 2: Convert to fraction form
    81,229/168,959 = 168,959/x
  3. Step 3: Cross multiply
    81,229x = 168,959 × 168,959
  4. Step 4: Simplify right side
    81,229x = 28,547,143,681
  5. Step 5: Solve for x
    x = 28,547,143,681/81,229
  6. Step 6: Final answer
    x = 351,440.29

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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.