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Finding the Third Proportional to 329.25 and 508.75

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Solution

The third proportional to 329.25 and 508.75 is: 786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.25 : 508.75 = 508.75 : x
  2. Step 2: Convert to fraction form
    329.25/508.75 = 508.75/x
  3. Step 3: Cross multiply
    329.25x = 508.75 × 508.75
  4. Step 4: Simplify right side
    329.25x = 258,826.56
  5. Step 5: Solve for x
    x = 258,826.56/329.25
  6. Step 6: Final answer
    x = 786.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.