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Finding the Third Proportional to 56.94 and 85.81

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Solution

The third proportional to 56.94 and 85.81 is: 129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.94 : 85.81 = 85.81 : x
  2. Step 2: Convert to fraction form
    56.94/85.81 = 85.81/x
  3. Step 3: Cross multiply
    56.94x = 85.81 × 85.81
  4. Step 4: Simplify right side
    56.94x = 7,363.79
  5. Step 5: Solve for x
    x = 7,363.79/56.94
  6. Step 6: Final answer
    x = 129.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.