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Finding the Third Proportional to 109 and 210

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Solution

The third proportional to 109 and 210 is: 404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 210 = 210 : x
  2. Step 2: Convert to fraction form
    109/210 = 210/x
  3. Step 3: Cross multiply
    109x = 210 × 210
  4. Step 4: Simplify right side
    109x = 44,100
  5. Step 5: Solve for x
    x = 44,100/109
  6. Step 6: Final answer
    x = 404.59

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.