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Finding the Third Proportional to 172,812 and 266,874

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Solution

The third proportional to 172,812 and 266,874 is: 412,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,812 : 266,874 = 266,874 : x
  2. Step 2: Convert to fraction form
    172,812/266,874 = 266,874/x
  3. Step 3: Cross multiply
    172,812x = 266,874 × 266,874
  4. Step 4: Simplify right side
    172,812x = 71,221,731,876
  5. Step 5: Solve for x
    x = 71,221,731,876/172,812
  6. Step 6: Final answer
    x = 412,134.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.