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Finding the Third Proportional to 121.78 and 237.38

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Solution

The third proportional to 121.78 and 237.38 is: 462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.78 : 237.38 = 237.38 : x
  2. Step 2: Convert to fraction form
    121.78/237.38 = 237.38/x
  3. Step 3: Cross multiply
    121.78x = 237.38 × 237.38
  4. Step 4: Simplify right side
    121.78x = 56,346.89
  5. Step 5: Solve for x
    x = 56,346.89/121.78
  6. Step 6: Final answer
    x = 462.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.