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Finding the Third Proportional to 3.54 and 4.17

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Solution

The third proportional to 3.54 and 4.17 is: 4.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.54 : 4.17 = 4.17 : x
  2. Step 2: Convert to fraction form
    3.54/4.17 = 4.17/x
  3. Step 3: Cross multiply
    3.54x = 4.17 × 4.17
  4. Step 4: Simplify right side
    3.54x = 17.36
  5. Step 5: Solve for x
    x = 17.36/3.54
  6. Step 6: Final answer
    x = 4.91

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.