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Finding the Third Proportional to 20,898 and 30,211

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Solution

The third proportional to 20,898 and 30,211 is: 43,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898 : 30,211 = 30,211 : x
  2. Step 2: Convert to fraction form
    20,898/30,211 = 30,211/x
  3. Step 3: Cross multiply
    20,898x = 30,211 × 30,211
  4. Step 4: Simplify right side
    20,898x = 912,704,521
  5. Step 5: Solve for x
    x = 912,704,521/20,898
  6. Step 6: Final answer
    x = 43,674.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.