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Finding the Third Proportional to 3,043.50 and 6,318.38

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Solution

The third proportional to 3,043.50 and 6,318.38 is: 13,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.50 : 6,318.38 = 6,318.38 : x
  2. Step 2: Convert to fraction form
    3,043.50/6,318.38 = 6,318.38/x
  3. Step 3: Cross multiply
    3,043.50x = 6,318.38 × 6,318.38
  4. Step 4: Simplify right side
    3,043.50x = 39,921,862.64
  5. Step 5: Solve for x
    x = 39,921,862.64/3,043.50
  6. Step 6: Final answer
    x = 13,117.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.