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Finding the Third Proportional to 43.24 and 65.18

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Solution

The third proportional to 43.24 and 65.18 is: 98.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.24 : 65.18 = 65.18 : x
  2. Step 2: Convert to fraction form
    43.24/65.18 = 65.18/x
  3. Step 3: Cross multiply
    43.24x = 65.18 × 65.18
  4. Step 4: Simplify right side
    43.24x = 4,248.39
  5. Step 5: Solve for x
    x = 4,248.39/43.24
  6. Step 6: Final answer
    x = 98.25

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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.