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Finding the Third Proportional to 6,943.50 and 11,280.38

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Solution

The third proportional to 6,943.50 and 11,280.38 is: 18,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.50 : 11,280.38 = 11,280.38 : x
  2. Step 2: Convert to fraction form
    6,943.50/11,280.38 = 11,280.38/x
  3. Step 3: Cross multiply
    6,943.50x = 11,280.38 × 11,280.38
  4. Step 4: Simplify right side
    6,943.50x = 127,246,860.14
  5. Step 5: Solve for x
    x = 127,246,860.14/6,943.50
  6. Step 6: Final answer
    x = 18,326.04

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.