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Finding the Third Proportional to 20,211 and 31,020

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Solution

The third proportional to 20,211 and 31,020 is: 47,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211 : 31,020 = 31,020 : x
  2. Step 2: Convert to fraction form
    20,211/31,020 = 31,020/x
  3. Step 3: Cross multiply
    20,211x = 31,020 × 31,020
  4. Step 4: Simplify right side
    20,211x = 962,240,400
  5. Step 5: Solve for x
    x = 962,240,400/20,211
  6. Step 6: Final answer
    x = 47,609.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.