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Finding the Third Proportional to 172,386 and 267,867

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Solution

The third proportional to 172,386 and 267,867 is: 416,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,386 : 267,867 = 267,867 : x
  2. Step 2: Convert to fraction form
    172,386/267,867 = 267,867/x
  3. Step 3: Cross multiply
    172,386x = 267,867 × 267,867
  4. Step 4: Simplify right side
    172,386x = 71,752,729,689
  5. Step 5: Solve for x
    x = 71,752,729,689/172,386
  6. Step 6: Final answer
    x = 416,232.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.