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Finding the Third Proportional to 172.84 and 267.66

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Solution

The third proportional to 172.84 and 267.66 is: 414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.84 : 267.66 = 267.66 : x
  2. Step 2: Convert to fraction form
    172.84/267.66 = 267.66/x
  3. Step 3: Cross multiply
    172.84x = 267.66 × 267.66
  4. Step 4: Simplify right side
    172.84x = 71,639.87
  5. Step 5: Solve for x
    x = 71,639.87/172.84
  6. Step 6: Final answer
    x = 414.48

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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.