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Finding the Third Proportional to 6.44 and 9.88

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Solution

The third proportional to 6.44 and 9.88 is: 15.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.44 : 9.88 = 9.88 : x
  2. Step 2: Convert to fraction form
    6.44/9.88 = 9.88/x
  3. Step 3: Cross multiply
    6.44x = 9.88 × 9.88
  4. Step 4: Simplify right side
    6.44x = 97.52
  5. Step 5: Solve for x
    x = 97.52/6.44
  6. Step 6: Final answer
    x = 15.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.