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Finding the Third Proportional to 12,228 and 20,254.50

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Solution

The third proportional to 12,228 and 20,254.50 is: 33,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228 : 20,254.50 = 20,254.50 : x
  2. Step 2: Convert to fraction form
    12,228/20,254.50 = 20,254.50/x
  3. Step 3: Cross multiply
    12,228x = 20,254.50 × 20,254.50
  4. Step 4: Simplify right side
    12,228x = 410,244,770.25
  5. Step 5: Solve for x
    x = 410,244,770.25/12,228
  6. Step 6: Final answer
    x = 33,549.62

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.