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Finding the Third Proportional to 10.09 and 21.48

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Solution

The third proportional to 10.09 and 21.48 is: 45.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.09 : 21.48 = 21.48 : x
  2. Step 2: Convert to fraction form
    10.09/21.48 = 21.48/x
  3. Step 3: Cross multiply
    10.09x = 21.48 × 21.48
  4. Step 4: Simplify right side
    10.09x = 461.22
  5. Step 5: Solve for x
    x = 461.22/10.09
  6. Step 6: Final answer
    x = 45.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.