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Finding the Third Proportional to 10.08 and 21.27

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Solution

The third proportional to 10.08 and 21.27 is: 44.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.08 : 21.27 = 21.27 : x
  2. Step 2: Convert to fraction form
    10.08/21.27 = 21.27/x
  3. Step 3: Cross multiply
    10.08x = 21.27 × 21.27
  4. Step 4: Simplify right side
    10.08x = 452.23
  5. Step 5: Solve for x
    x = 452.23/10.08
  6. Step 6: Final answer
    x = 44.87

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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.