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Finding the Third Proportional to 12.96 and 26.98

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Solution

The third proportional to 12.96 and 26.98 is: 56.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.96 : 26.98 = 26.98 : x
  2. Step 2: Convert to fraction form
    12.96/26.98 = 26.98/x
  3. Step 3: Cross multiply
    12.96x = 26.98 × 26.98
  4. Step 4: Simplify right side
    12.96x = 727.95
  5. Step 5: Solve for x
    x = 727.95/12.96
  6. Step 6: Final answer
    x = 56.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.