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Finding the Third Proportional to 26 and 56.50

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Solution

The third proportional to 26 and 56.50 is: 122.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26 : 56.50 = 56.50 : x
  2. Step 2: Convert to fraction form
    26/56.50 = 56.50/x
  3. Step 3: Cross multiply
    26x = 56.50 × 56.50
  4. Step 4: Simplify right side
    26x = 3,192.25
  5. Step 5: Solve for x
    x = 3,192.25/26
  6. Step 6: Final answer
    x = 122.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.