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Finding the Third Proportional to 10.16 and 21.88

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Solution

The third proportional to 10.16 and 21.88 is: 47.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.16 : 21.88 = 21.88 : x
  2. Step 2: Convert to fraction form
    10.16/21.88 = 21.88/x
  3. Step 3: Cross multiply
    10.16x = 21.88 × 21.88
  4. Step 4: Simplify right side
    10.16x = 478.69
  5. Step 5: Solve for x
    x = 478.69/10.16
  6. Step 6: Final answer
    x = 47.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.