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Finding the Third Proportional to 209.19 and 306.25

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Solution

The third proportional to 209.19 and 306.25 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.19 : 306.25 = 306.25 : x
  2. Step 2: Convert to fraction form
    209.19/306.25 = 306.25/x
  3. Step 3: Cross multiply
    209.19x = 306.25 × 306.25
  4. Step 4: Simplify right side
    209.19x = 93,789.06
  5. Step 5: Solve for x
    x = 93,789.06/209.19
  6. Step 6: Final answer
    x = 448.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.