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Finding the Third Proportional to 209 and 372

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Solution

The third proportional to 209 and 372 is: 662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 372 = 372 : x
  2. Step 2: Convert to fraction form
    209/372 = 372/x
  3. Step 3: Cross multiply
    209x = 372 × 372
  4. Step 4: Simplify right side
    209x = 138,384
  5. Step 5: Solve for x
    x = 138,384/209
  6. Step 6: Final answer
    x = 662.12

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.