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Finding the Third Proportional to 12.75 and 21.50

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Solution

The third proportional to 12.75 and 21.50 is: 36.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.75 : 21.50 = 21.50 : x
  2. Step 2: Convert to fraction form
    12.75/21.50 = 21.50/x
  3. Step 3: Cross multiply
    12.75x = 21.50 × 21.50
  4. Step 4: Simplify right side
    12.75x = 462.25
  5. Step 5: Solve for x
    x = 462.25/12.75
  6. Step 6: Final answer
    x = 36.25

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.