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Finding the Third Proportional to 12.76 and 26.74

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Solution

The third proportional to 12.76 and 26.74 is: 56.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.76 : 26.74 = 26.74 : x
  2. Step 2: Convert to fraction form
    12.76/26.74 = 26.74/x
  3. Step 3: Cross multiply
    12.76x = 26.74 × 26.74
  4. Step 4: Simplify right side
    12.76x = 715.27
  5. Step 5: Solve for x
    x = 715.27/12.76
  6. Step 6: Final answer
    x = 56.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.