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Finding the Third Proportional to 209.19 and 319.22

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Solution

The third proportional to 209.19 and 319.22 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.19 : 319.22 = 319.22 : x
  2. Step 2: Convert to fraction form
    209.19/319.22 = 319.22/x
  3. Step 3: Cross multiply
    209.19x = 319.22 × 319.22
  4. Step 4: Simplify right side
    209.19x = 101,900.61
  5. Step 5: Solve for x
    x = 101,900.61/209.19
  6. Step 6: Final answer
    x = 487.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.