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Finding the Third Proportional to 5.12 and 9.87

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Solution

The third proportional to 5.12 and 9.87 is: 19.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.12 : 9.87 = 9.87 : x
  2. Step 2: Convert to fraction form
    5.12/9.87 = 9.87/x
  3. Step 3: Cross multiply
    5.12x = 9.87 × 9.87
  4. Step 4: Simplify right side
    5.12x = 97.51
  5. Step 5: Solve for x
    x = 97.51/5.12
  6. Step 6: Final answer
    x = 19.04

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.