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Finding the Third Proportional to 4.96 and 10.87

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Solution

The third proportional to 4.96 and 10.87 is: 23.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.96 : 10.87 = 10.87 : x
  2. Step 2: Convert to fraction form
    4.96/10.87 = 10.87/x
  3. Step 3: Cross multiply
    4.96x = 10.87 × 10.87
  4. Step 4: Simplify right side
    4.96x = 118.08
  5. Step 5: Solve for x
    x = 118.08/4.96
  6. Step 6: Final answer
    x = 23.79

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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.