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Finding the Third Proportional to 4.18 and 9.03

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Solution

The third proportional to 4.18 and 9.03 is: 19.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.18 : 9.03 = 9.03 : x
  2. Step 2: Convert to fraction form
    4.18/9.03 = 9.03/x
  3. Step 3: Cross multiply
    4.18x = 9.03 × 9.03
  4. Step 4: Simplify right side
    4.18x = 81.47
  5. Step 5: Solve for x
    x = 81.47/4.18
  6. Step 6: Final answer
    x = 19.48

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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.