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Finding the Third Proportional to 4.13 and 9.02

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Solution

The third proportional to 4.13 and 9.02 is: 19.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.13 : 9.02 = 9.02 : x
  2. Step 2: Convert to fraction form
    4.13/9.02 = 9.02/x
  3. Step 3: Cross multiply
    4.13x = 9.02 × 9.02
  4. Step 4: Simplify right side
    4.13x = 81.42
  5. Step 5: Solve for x
    x = 81.42/4.13
  6. Step 6: Final answer
    x = 19.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.