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Finding the Third Proportional to 3,043.83 and 6,218.02

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Solution

The third proportional to 3,043.83 and 6,218.02 is: 12,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.83 : 6,218.02 = 6,218.02 : x
  2. Step 2: Convert to fraction form
    3,043.83/6,218.02 = 6,218.02/x
  3. Step 3: Cross multiply
    3,043.83x = 6,218.02 × 6,218.02
  4. Step 4: Simplify right side
    3,043.83x = 38,663,718.31
  5. Step 5: Solve for x
    x = 38,663,718.31/3,043.83
  6. Step 6: Final answer
    x = 12,702.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.