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Finding the Third Proportional to 3.48 and 5.04

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Solution

The third proportional to 3.48 and 5.04 is: 7.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.48 : 5.04 = 5.04 : x
  2. Step 2: Convert to fraction form
    3.48/5.04 = 5.04/x
  3. Step 3: Cross multiply
    3.48x = 5.04 × 5.04
  4. Step 4: Simplify right side
    3.48x = 25.40
  5. Step 5: Solve for x
    x = 25.40/3.48
  6. Step 6: Final answer
    x = 7.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.