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Finding the Third Proportional to 1,479 and 3,227.25

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Solution

The third proportional to 1,479 and 3,227.25 is: 7,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479 : 3,227.25 = 3,227.25 : x
  2. Step 2: Convert to fraction form
    1,479/3,227.25 = 3,227.25/x
  3. Step 3: Cross multiply
    1,479x = 3,227.25 × 3,227.25
  4. Step 4: Simplify right side
    1,479x = 10,415,142.56
  5. Step 5: Solve for x
    x = 10,415,142.56/1,479
  6. Step 6: Final answer
    x = 7,042.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.