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Finding the Third Proportional to 6.15 and 12.62

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Solution

The third proportional to 6.15 and 12.62 is: 25.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.15 : 12.62 = 12.62 : x
  2. Step 2: Convert to fraction form
    6.15/12.62 = 12.62/x
  3. Step 3: Cross multiply
    6.15x = 12.62 × 12.62
  4. Step 4: Simplify right side
    6.15x = 159.29
  5. Step 5: Solve for x
    x = 159.29/6.15
  6. Step 6: Final answer
    x = 25.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.