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Finding the Third Proportional to 8.50 and 14.75

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Solution

The third proportional to 8.50 and 14.75 is: 25.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.50 : 14.75 = 14.75 : x
  2. Step 2: Convert to fraction form
    8.50/14.75 = 14.75/x
  3. Step 3: Cross multiply
    8.50x = 14.75 × 14.75
  4. Step 4: Simplify right side
    8.50x = 217.56
  5. Step 5: Solve for x
    x = 217.56/8.50
  6. Step 6: Final answer
    x = 25.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.