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Finding the Third Proportional to 9.75 and 12.50

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Solution

The third proportional to 9.75 and 12.50 is: 16.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.75 : 12.50 = 12.50 : x
  2. Step 2: Convert to fraction form
    9.75/12.50 = 12.50/x
  3. Step 3: Cross multiply
    9.75x = 12.50 × 12.50
  4. Step 4: Simplify right side
    9.75x = 156.25
  5. Step 5: Solve for x
    x = 156.25/9.75
  6. Step 6: Final answer
    x = 16.03

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1.5x scale

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.