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Finding the Third Proportional to 85.78 and 186.75

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Solution

The third proportional to 85.78 and 186.75 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 186.75 = 186.75 : x
  2. Step 2: Convert to fraction form
    85.78/186.75 = 186.75/x
  3. Step 3: Cross multiply
    85.78x = 186.75 × 186.75
  4. Step 4: Simplify right side
    85.78x = 34,875.56
  5. Step 5: Solve for x
    x = 34,875.56/85.78
  6. Step 6: Final answer
    x = 406.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.