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Finding the Third Proportional to 79.45 and 121.29

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Solution

The third proportional to 79.45 and 121.29 is: 185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.45 : 121.29 = 121.29 : x
  2. Step 2: Convert to fraction form
    79.45/121.29 = 121.29/x
  3. Step 3: Cross multiply
    79.45x = 121.29 × 121.29
  4. Step 4: Simplify right side
    79.45x = 14,711.04
  5. Step 5: Solve for x
    x = 14,711.04/79.45
  6. Step 6: Final answer
    x = 185.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.