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Finding the Third Proportional to 2.61 and 6.32

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Solution

The third proportional to 2.61 and 6.32 is: 15.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.61 : 6.32 = 6.32 : x
  2. Step 2: Convert to fraction form
    2.61/6.32 = 6.32/x
  3. Step 3: Cross multiply
    2.61x = 6.32 × 6.32
  4. Step 4: Simplify right side
    2.61x = 39.95
  5. Step 5: Solve for x
    x = 39.95/2.61
  6. Step 6: Final answer
    x = 15.31

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.