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Finding the Third Proportional to 121.92 and 206.93

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Solution

The third proportional to 121.92 and 206.93 is: 351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 206.93 = 206.93 : x
  2. Step 2: Convert to fraction form
    121.92/206.93 = 206.93/x
  3. Step 3: Cross multiply
    121.92x = 206.93 × 206.93
  4. Step 4: Simplify right side
    121.92x = 42,819.90
  5. Step 5: Solve for x
    x = 42,819.90/121.92
  6. Step 6: Final answer
    x = 351.21

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.