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Finding the Third Proportional to 7.28 and 15.96

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Solution

The third proportional to 7.28 and 15.96 is: 35.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.28 : 15.96 = 15.96 : x
  2. Step 2: Convert to fraction form
    7.28/15.96 = 15.96/x
  3. Step 3: Cross multiply
    7.28x = 15.96 × 15.96
  4. Step 4: Simplify right side
    7.28x = 254.75
  5. Step 5: Solve for x
    x = 254.75/7.28
  6. Step 6: Final answer
    x = 35.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.