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Finding the Third Proportional to 9.02 and 19.04

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Solution

The third proportional to 9.02 and 19.04 is: 40.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.02 : 19.04 = 19.04 : x
  2. Step 2: Convert to fraction form
    9.02/19.04 = 19.04/x
  3. Step 3: Cross multiply
    9.02x = 19.04 × 19.04
  4. Step 4: Simplify right side
    9.02x = 362.41
  5. Step 5: Solve for x
    x = 362.41/9.02
  6. Step 6: Final answer
    x = 40.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.