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Finding the Third Proportional to 26.61 and 57.30

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Solution

The third proportional to 26.61 and 57.30 is: 123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.61 : 57.30 = 57.30 : x
  2. Step 2: Convert to fraction form
    26.61/57.30 = 57.30/x
  3. Step 3: Cross multiply
    26.61x = 57.30 × 57.30
  4. Step 4: Simplify right side
    26.61x = 3,282.91
  5. Step 5: Solve for x
    x = 3,282.91/26.61
  6. Step 6: Final answer
    x = 123.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.