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Finding the Third Proportional to 43.64 and 66.52

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Solution

The third proportional to 43.64 and 66.52 is: 101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.64 : 66.52 = 66.52 : x
  2. Step 2: Convert to fraction form
    43.64/66.52 = 66.52/x
  3. Step 3: Cross multiply
    43.64x = 66.52 × 66.52
  4. Step 4: Simplify right side
    43.64x = 4,424.33
  5. Step 5: Solve for x
    x = 4,424.33/43.64
  6. Step 6: Final answer
    x = 101.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.