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Finding the Third Proportional to 172,356 and 267,555.75

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Solution

The third proportional to 172,356 and 267,555.75 is: 415,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,356 : 267,555.75 = 267,555.75 : x
  2. Step 2: Convert to fraction form
    172,356/267,555.75 = 267,555.75/x
  3. Step 3: Cross multiply
    172,356x = 267,555.75 × 267,555.75
  4. Step 4: Simplify right side
    172,356x = 71,586,079,358.06
  5. Step 5: Solve for x
    x = 71,586,079,358.06/172,356
  6. Step 6: Final answer
    x = 415,338.48

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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.