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Finding the Third Proportional to 28.66 and 43.23

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Solution

The third proportional to 28.66 and 43.23 is: 65.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.66 : 43.23 = 43.23 : x
  2. Step 2: Convert to fraction form
    28.66/43.23 = 43.23/x
  3. Step 3: Cross multiply
    28.66x = 43.23 × 43.23
  4. Step 4: Simplify right side
    28.66x = 1,868.87
  5. Step 5: Solve for x
    x = 1,868.87/28.66
  6. Step 6: Final answer
    x = 65.20

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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.