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Finding the Third Proportional to 209.75 and 327.50

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Solution

The third proportional to 209.75 and 327.50 is: 511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 327.50 = 327.50 : x
  2. Step 2: Convert to fraction form
    209.75/327.50 = 327.50/x
  3. Step 3: Cross multiply
    209.75x = 327.50 × 327.50
  4. Step 4: Simplify right side
    209.75x = 107,256.25
  5. Step 5: Solve for x
    x = 107,256.25/209.75
  6. Step 6: Final answer
    x = 511.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.