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Finding the Third Proportional to 121.78 and 176.91

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Solution

The third proportional to 121.78 and 176.91 is: 256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.78 : 176.91 = 176.91 : x
  2. Step 2: Convert to fraction form
    121.78/176.91 = 176.91/x
  3. Step 3: Cross multiply
    121.78x = 176.91 × 176.91
  4. Step 4: Simplify right side
    121.78x = 31,295.82
  5. Step 5: Solve for x
    x = 31,295.82/121.78
  6. Step 6: Final answer
    x = 256.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.