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Finding the Third Proportional to 5.09 and 5.86

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Solution

The third proportional to 5.09 and 5.86 is: 6.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.09 : 5.86 = 5.86 : x
  2. Step 2: Convert to fraction form
    5.09/5.86 = 5.86/x
  3. Step 3: Cross multiply
    5.09x = 5.86 × 5.86
  4. Step 4: Simplify right side
    5.09x = 34.33
  5. Step 5: Solve for x
    x = 34.33/5.09
  6. Step 6: Final answer
    x = 6.74

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.