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Finding the Third Proportional to 81,018 and 168,489

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Solution

The third proportional to 81,018 and 168,489 is: 350,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,018 : 168,489 = 168,489 : x
  2. Step 2: Convert to fraction form
    81,018/168,489 = 168,489/x
  3. Step 3: Cross multiply
    81,018x = 168,489 × 168,489
  4. Step 4: Simplify right side
    81,018x = 28,388,543,121
  5. Step 5: Solve for x
    x = 28,388,543,121/81,018
  6. Step 6: Final answer
    x = 350,397.97

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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.