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Finding the Third Proportional to 85.75 and 205.75

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Solution

The third proportional to 85.75 and 205.75 is: 493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.75 : 205.75 = 205.75 : x
  2. Step 2: Convert to fraction form
    85.75/205.75 = 205.75/x
  3. Step 3: Cross multiply
    85.75x = 205.75 × 205.75
  4. Step 4: Simplify right side
    85.75x = 42,333.06
  5. Step 5: Solve for x
    x = 42,333.06/85.75
  6. Step 6: Final answer
    x = 493.68

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.