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Finding the Third Proportional to 5.14 and 10.10

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Solution

The third proportional to 5.14 and 10.10 is: 19.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.14 : 10.10 = 10.10 : x
  2. Step 2: Convert to fraction form
    5.14/10.10 = 10.10/x
  3. Step 3: Cross multiply
    5.14x = 10.10 × 10.10
  4. Step 4: Simplify right side
    5.14x = 102.08
  5. Step 5: Solve for x
    x = 102.08/5.14
  6. Step 6: Final answer
    x = 19.87

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.