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Finding the Third Proportional to 4.03 and 8.69

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Solution

The third proportional to 4.03 and 8.69 is: 18.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.03 : 8.69 = 8.69 : x
  2. Step 2: Convert to fraction form
    4.03/8.69 = 8.69/x
  3. Step 3: Cross multiply
    4.03x = 8.69 × 8.69
  4. Step 4: Simplify right side
    4.03x = 75.47
  5. Step 5: Solve for x
    x = 75.47/4.03
  6. Step 6: Final answer
    x = 18.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.