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Finding the Third Proportional to 26.80 and 64.15

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Solution

The third proportional to 26.80 and 64.15 is: 153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.80 : 64.15 = 64.15 : x
  2. Step 2: Convert to fraction form
    26.80/64.15 = 64.15/x
  3. Step 3: Cross multiply
    26.80x = 64.15 × 64.15
  4. Step 4: Simplify right side
    26.80x = 4,115.14
  5. Step 5: Solve for x
    x = 4,115.14/26.80
  6. Step 6: Final answer
    x = 153.54

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.