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Finding the Third Proportional to 209.07 and 319.06

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Solution

The third proportional to 209.07 and 319.06 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.07 : 319.06 = 319.06 : x
  2. Step 2: Convert to fraction form
    209.07/319.06 = 319.06/x
  3. Step 3: Cross multiply
    209.07x = 319.06 × 319.06
  4. Step 4: Simplify right side
    209.07x = 101,796.83
  5. Step 5: Solve for x
    x = 101,796.83/209.07
  6. Step 6: Final answer
    x = 486.91

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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.