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Finding the Third Proportional to 9.70 and 13.50

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Solution

The third proportional to 9.70 and 13.50 is: 18.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.70 : 13.50 = 13.50 : x
  2. Step 2: Convert to fraction form
    9.70/13.50 = 13.50/x
  3. Step 3: Cross multiply
    9.70x = 13.50 × 13.50
  4. Step 4: Simplify right side
    9.70x = 182.25
  5. Step 5: Solve for x
    x = 182.25/9.70
  6. Step 6: Final answer
    x = 18.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.