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Finding the Third Proportional to 20.04 and 43.20

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Solution

The third proportional to 20.04 and 43.20 is: 93.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.04 : 43.20 = 43.20 : x
  2. Step 2: Convert to fraction form
    20.04/43.20 = 43.20/x
  3. Step 3: Cross multiply
    20.04x = 43.20 × 43.20
  4. Step 4: Simplify right side
    20.04x = 1,866.35
  5. Step 5: Solve for x
    x = 1,866.35/20.04
  6. Step 6: Final answer
    x = 93.12

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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.