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Finding the Third Proportional to 98.79 and 149.55

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Solution

The third proportional to 98.79 and 149.55 is: 226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.79 : 149.55 = 149.55 : x
  2. Step 2: Convert to fraction form
    98.79/149.55 = 149.55/x
  3. Step 3: Cross multiply
    98.79x = 149.55 × 149.55
  4. Step 4: Simplify right side
    98.79x = 22,366.60
  5. Step 5: Solve for x
    x = 22,366.60/98.79
  6. Step 6: Final answer
    x = 226.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.