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Finding the Third Proportional to 5,772.20 and 12,639.32

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Solution

The third proportional to 5,772.20 and 12,639.32 is: 27,676.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.20 : 12,639.32 = 12,639.32 : x
  2. Step 2: Convert to fraction form
    5,772.20/12,639.32 = 12,639.32/x
  3. Step 3: Cross multiply
    5,772.20x = 12,639.32 × 12,639.32
  4. Step 4: Simplify right side
    5,772.20x = 159,752,467.33
  5. Step 5: Solve for x
    x = 159,752,467.33/5,772.20
  6. Step 6: Final answer
    x = 27,676.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.