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Finding the Third Proportional to 26.10 and 56.60

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Solution

The third proportional to 26.10 and 56.60 is: 122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.10 : 56.60 = 56.60 : x
  2. Step 2: Convert to fraction form
    26.10/56.60 = 56.60/x
  3. Step 3: Cross multiply
    26.10x = 56.60 × 56.60
  4. Step 4: Simplify right side
    26.10x = 3,203.24
  5. Step 5: Solve for x
    x = 3,203.24/26.10
  6. Step 6: Final answer
    x = 122.71

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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.