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Finding the Third Proportional to 86.50 and 177.50

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Solution

The third proportional to 86.50 and 177.50 is: 364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.50 : 177.50 = 177.50 : x
  2. Step 2: Convert to fraction form
    86.50/177.50 = 177.50/x
  3. Step 3: Cross multiply
    86.50x = 177.50 × 177.50
  4. Step 4: Simplify right side
    86.50x = 31,506.25
  5. Step 5: Solve for x
    x = 31,506.25/86.50
  6. Step 6: Final answer
    x = 364.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.