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Finding the Third Proportional to 209.39 and 308.04

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Solution

The third proportional to 209.39 and 308.04 is: 453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.39 : 308.04 = 308.04 : x
  2. Step 2: Convert to fraction form
    209.39/308.04 = 308.04/x
  3. Step 3: Cross multiply
    209.39x = 308.04 × 308.04
  4. Step 4: Simplify right side
    209.39x = 94,888.06
  5. Step 5: Solve for x
    x = 94,888.06/209.39
  6. Step 6: Final answer
    x = 453.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.