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Finding the Third Proportional to 10.21 and 21.72

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Solution

The third proportional to 10.21 and 21.72 is: 46.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.21 : 21.72 = 21.72 : x
  2. Step 2: Convert to fraction form
    10.21/21.72 = 21.72/x
  3. Step 3: Cross multiply
    10.21x = 21.72 × 21.72
  4. Step 4: Simplify right side
    10.21x = 471.95
  5. Step 5: Solve for x
    x = 471.95/10.21
  6. Step 6: Final answer
    x = 46.22

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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.