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Finding the Third Proportional to 56.57 and 85.92

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Solution

The third proportional to 56.57 and 85.92 is: 130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.57 : 85.92 = 85.92 : x
  2. Step 2: Convert to fraction form
    56.57/85.92 = 85.92/x
  3. Step 3: Cross multiply
    56.57x = 85.92 × 85.92
  4. Step 4: Simplify right side
    56.57x = 7,382.57
  5. Step 5: Solve for x
    x = 7,382.57/56.57
  6. Step 6: Final answer
    x = 130.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.