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Finding the Third Proportional to 209.67 and 325.90

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Solution

The third proportional to 209.67 and 325.90 is: 506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.67 : 325.90 = 325.90 : x
  2. Step 2: Convert to fraction form
    209.67/325.90 = 325.90/x
  3. Step 3: Cross multiply
    209.67x = 325.90 × 325.90
  4. Step 4: Simplify right side
    209.67x = 106,209.79
  5. Step 5: Solve for x
    x = 106,209.79/209.67
  6. Step 6: Final answer
    x = 506.55

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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.