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Finding the Third Proportional to 4.80 and 10.56

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Solution

The third proportional to 4.80 and 10.56 is: 23.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.80 : 10.56 = 10.56 : x
  2. Step 2: Convert to fraction form
    4.80/10.56 = 10.56/x
  3. Step 3: Cross multiply
    4.80x = 10.56 × 10.56
  4. Step 4: Simplify right side
    4.80x = 111.57
  5. Step 5: Solve for x
    x = 111.57/4.80
  6. Step 6: Final answer
    x = 23.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.