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Finding the Third Proportional to 43.66 and 64.23

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Solution

The third proportional to 43.66 and 64.23 is: 94.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.66 : 64.23 = 64.23 : x
  2. Step 2: Convert to fraction form
    43.66/64.23 = 64.23/x
  3. Step 3: Cross multiply
    43.66x = 64.23 × 64.23
  4. Step 4: Simplify right side
    43.66x = 4,125.55
  5. Step 5: Solve for x
    x = 4,125.55/43.66
  6. Step 6: Final answer
    x = 94.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.