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Finding the Third Proportional to 43.78 and 65.14

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Solution

The third proportional to 43.78 and 65.14 is: 96.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.78 : 65.14 = 65.14 : x
  2. Step 2: Convert to fraction form
    43.78/65.14 = 65.14/x
  3. Step 3: Cross multiply
    43.78x = 65.14 × 65.14
  4. Step 4: Simplify right side
    43.78x = 4,243.24
  5. Step 5: Solve for x
    x = 4,243.24/43.78
  6. Step 6: Final answer
    x = 96.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.