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Finding the Third Proportional to 1,399.78 and 2,943.21

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Solution

The third proportional to 1,399.78 and 2,943.21 is: 6,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.78 : 2,943.21 = 2,943.21 : x
  2. Step 2: Convert to fraction form
    1,399.78/2,943.21 = 2,943.21/x
  3. Step 3: Cross multiply
    1,399.78x = 2,943.21 × 2,943.21
  4. Step 4: Simplify right side
    1,399.78x = 8,662,490.62
  5. Step 5: Solve for x
    x = 8,662,490.62/1,399.78
  6. Step 6: Final answer
    x = 6,188.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.