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Finding the Third Proportional to 121.69 and 267.14

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Solution

The third proportional to 121.69 and 267.14 is: 586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.69 : 267.14 = 267.14 : x
  2. Step 2: Convert to fraction form
    121.69/267.14 = 267.14/x
  3. Step 3: Cross multiply
    121.69x = 267.14 × 267.14
  4. Step 4: Simplify right side
    121.69x = 71,364.11
  5. Step 5: Solve for x
    x = 71,364.11/121.69
  6. Step 6: Final answer
    x = 586.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.