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Finding the Third Proportional to 172,305 and 267,207

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Solution

The third proportional to 172,305 and 267,207 is: 414,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,305 : 267,207 = 267,207 : x
  2. Step 2: Convert to fraction form
    172,305/267,207 = 267,207/x
  3. Step 3: Cross multiply
    172,305x = 267,207 × 267,207
  4. Step 4: Simplify right side
    172,305x = 71,399,580,849
  5. Step 5: Solve for x
    x = 71,399,580,849/172,305
  6. Step 6: Final answer
    x = 414,379.04

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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.