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Finding the Third Proportional to 20.09 and 29.43

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Solution

The third proportional to 20.09 and 29.43 is: 43.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.09 : 29.43 = 29.43 : x
  2. Step 2: Convert to fraction form
    20.09/29.43 = 29.43/x
  3. Step 3: Cross multiply
    20.09x = 29.43 × 29.43
  4. Step 4: Simplify right side
    20.09x = 865.88
  5. Step 5: Solve for x
    x = 865.88/20.09
  6. Step 6: Final answer
    x = 43.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.