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Finding the Third Proportional to 26.19 and 56.69

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Solution

The third proportional to 26.19 and 56.69 is: 122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.19 : 56.69 = 56.69 : x
  2. Step 2: Convert to fraction form
    26.19/56.69 = 56.69/x
  3. Step 3: Cross multiply
    26.19x = 56.69 × 56.69
  4. Step 4: Simplify right side
    26.19x = 3,213.47
  5. Step 5: Solve for x
    x = 3,213.47/26.19
  6. Step 6: Final answer
    x = 122.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.