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Finding the Third Proportional to 2,382.19 and 3,562.31

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Solution

The third proportional to 2,382.19 and 3,562.31 is: 5,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.19 : 3,562.31 = 3,562.31 : x
  2. Step 2: Convert to fraction form
    2,382.19/3,562.31 = 3,562.31/x
  3. Step 3: Cross multiply
    2,382.19x = 3,562.31 × 3,562.31
  4. Step 4: Simplify right side
    2,382.19x = 12,690,070.35
  5. Step 5: Solve for x
    x = 12,690,070.35/2,382.19
  6. Step 6: Final answer
    x = 5,327.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.