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Finding the Third Proportional to 121.64 and 158.13

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Solution

The third proportional to 121.64 and 158.13 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.64 : 158.13 = 158.13 : x
  2. Step 2: Convert to fraction form
    121.64/158.13 = 158.13/x
  3. Step 3: Cross multiply
    121.64x = 158.13 × 158.13
  4. Step 4: Simplify right side
    121.64x = 25,004.57
  5. Step 5: Solve for x
    x = 25,004.57/121.64
  6. Step 6: Final answer
    x = 205.57

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.