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Finding the Third Proportional to 65.91 and 84.38

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Solution

The third proportional to 65.91 and 84.38 is: 108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.91 : 84.38 = 84.38 : x
  2. Step 2: Convert to fraction form
    65.91/84.38 = 84.38/x
  3. Step 3: Cross multiply
    65.91x = 84.38 × 84.38
  4. Step 4: Simplify right side
    65.91x = 7,119.14
  5. Step 5: Solve for x
    x = 7,119.14/65.91
  6. Step 6: Final answer
    x = 108.02

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.