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Finding the Third Proportional to 5.04 and 10.74

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Solution

The third proportional to 5.04 and 10.74 is: 22.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.04 : 10.74 = 10.74 : x
  2. Step 2: Convert to fraction form
    5.04/10.74 = 10.74/x
  3. Step 3: Cross multiply
    5.04x = 10.74 × 10.74
  4. Step 4: Simplify right side
    5.04x = 115.31
  5. Step 5: Solve for x
    x = 115.31/5.04
  6. Step 6: Final answer
    x = 22.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.