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Finding the Third Proportional to 10.06 and 21.81

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Solution

The third proportional to 10.06 and 21.81 is: 47.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.06 : 21.81 = 21.81 : x
  2. Step 2: Convert to fraction form
    10.06/21.81 = 21.81/x
  3. Step 3: Cross multiply
    10.06x = 21.81 × 21.81
  4. Step 4: Simplify right side
    10.06x = 475.79
  5. Step 5: Solve for x
    x = 475.79/10.06
  6. Step 6: Final answer
    x = 47.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.