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Finding the Third Proportional to 5.10 and 6.86

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Solution

The third proportional to 5.10 and 6.86 is: 9.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.10 : 6.86 = 6.86 : x
  2. Step 2: Convert to fraction form
    5.10/6.86 = 6.86/x
  3. Step 3: Cross multiply
    5.10x = 6.86 × 6.86
  4. Step 4: Simplify right side
    5.10x = 47.09
  5. Step 5: Solve for x
    x = 47.09/5.10
  6. Step 6: Final answer
    x = 9.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.