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Finding the Third Proportional to 85.78 and 125.93

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Solution

The third proportional to 85.78 and 125.93 is: 184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 125.93 = 125.93 : x
  2. Step 2: Convert to fraction form
    85.78/125.93 = 125.93/x
  3. Step 3: Cross multiply
    85.78x = 125.93 × 125.93
  4. Step 4: Simplify right side
    85.78x = 15,858.29
  5. Step 5: Solve for x
    x = 15,858.29/85.78
  6. Step 6: Final answer
    x = 184.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.