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Finding the Third Proportional to 82,412 and 168,739

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Solution

The third proportional to 82,412 and 168,739 is: 345,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412 : 168,739 = 168,739 : x
  2. Step 2: Convert to fraction form
    82,412/168,739 = 168,739/x
  3. Step 3: Cross multiply
    82,412x = 168,739 × 168,739
  4. Step 4: Simplify right side
    82,412x = 28,472,850,121
  5. Step 5: Solve for x
    x = 28,472,850,121/82,412
  6. Step 6: Final answer
    x = 345,493.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.