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Finding the Third Proportional to 6.25 and 12.76

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Solution

The third proportional to 6.25 and 12.76 is: 26.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.25 : 12.76 = 12.76 : x
  2. Step 2: Convert to fraction form
    6.25/12.76 = 12.76/x
  3. Step 3: Cross multiply
    6.25x = 12.76 × 12.76
  4. Step 4: Simplify right side
    6.25x = 162.77
  5. Step 5: Solve for x
    x = 162.77/6.25
  6. Step 6: Final answer
    x = 26.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.