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Finding the Third Proportional to 10.13 and 21.20

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Solution

The third proportional to 10.13 and 21.20 is: 44.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.13 : 21.20 = 21.20 : x
  2. Step 2: Convert to fraction form
    10.13/21.20 = 21.20/x
  3. Step 3: Cross multiply
    10.13x = 21.20 × 21.20
  4. Step 4: Simplify right side
    10.13x = 449.41
  5. Step 5: Solve for x
    x = 449.41/10.13
  6. Step 6: Final answer
    x = 44.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.