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Finding the Third Proportional to 4.13 and 9.73

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Solution

The third proportional to 4.13 and 9.73 is: 22.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.13 : 9.73 = 9.73 : x
  2. Step 2: Convert to fraction form
    4.13/9.73 = 9.73/x
  3. Step 3: Cross multiply
    4.13x = 9.73 × 9.73
  4. Step 4: Simplify right side
    4.13x = 94.62
  5. Step 5: Solve for x
    x = 94.62/4.13
  6. Step 6: Final answer
    x = 22.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.