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Finding the Third Proportional to 1,647.56 and 3,619.13

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Solution

The third proportional to 1,647.56 and 3,619.13 is: 7,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.56 : 3,619.13 = 3,619.13 : x
  2. Step 2: Convert to fraction form
    1,647.56/3,619.13 = 3,619.13/x
  3. Step 3: Cross multiply
    1,647.56x = 3,619.13 × 3,619.13
  4. Step 4: Simplify right side
    1,647.56x = 13,098,065.77
  5. Step 5: Solve for x
    x = 13,098,065.77/1,647.56
  6. Step 6: Final answer
    x = 7,949.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.