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Finding the Third Proportional to 10,211 and 20,854.50

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Solution

The third proportional to 10,211 and 20,854.50 is: 42,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211 : 20,854.50 = 20,854.50 : x
  2. Step 2: Convert to fraction form
    10,211/20,854.50 = 20,854.50/x
  3. Step 3: Cross multiply
    10,211x = 20,854.50 × 20,854.50
  4. Step 4: Simplify right side
    10,211x = 434,910,170.25
  5. Step 5: Solve for x
    x = 434,910,170.25/10,211
  6. Step 6: Final answer
    x = 42,592.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.