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Finding the Third Proportional to 65.75 and 84.50

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Solution

The third proportional to 65.75 and 84.50 is: 108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.75 : 84.50 = 84.50 : x
  2. Step 2: Convert to fraction form
    65.75/84.50 = 84.50/x
  3. Step 3: Cross multiply
    65.75x = 84.50 × 84.50
  4. Step 4: Simplify right side
    65.75x = 7,140.25
  5. Step 5: Solve for x
    x = 7,140.25/65.75
  6. Step 6: Final answer
    x = 108.60

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.