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Finding the Third Proportional to 9.64 and 18.96

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Solution

The third proportional to 9.64 and 18.96 is: 37.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.64 : 18.96 = 18.96 : x
  2. Step 2: Convert to fraction form
    9.64/18.96 = 18.96/x
  3. Step 3: Cross multiply
    9.64x = 18.96 × 18.96
  4. Step 4: Simplify right side
    9.64x = 359.57
  5. Step 5: Solve for x
    x = 359.57/9.64
  6. Step 6: Final answer
    x = 37.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.