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Finding the Third Proportional to 4.15 and 6.09

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Solution

The third proportional to 4.15 and 6.09 is: 8.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.15 : 6.09 = 6.09 : x
  2. Step 2: Convert to fraction form
    4.15/6.09 = 6.09/x
  3. Step 3: Cross multiply
    4.15x = 6.09 × 6.09
  4. Step 4: Simplify right side
    4.15x = 37.10
  5. Step 5: Solve for x
    x = 37.10/4.15
  6. Step 6: Final answer
    x = 8.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.