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Finding the Third Proportional to 3,139.24 and 4,263.47

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Solution

The third proportional to 3,139.24 and 4,263.47 is: 5,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.24 : 4,263.47 = 4,263.47 : x
  2. Step 2: Convert to fraction form
    3,139.24/4,263.47 = 4,263.47/x
  3. Step 3: Cross multiply
    3,139.24x = 4,263.47 × 4,263.47
  4. Step 4: Simplify right side
    3,139.24x = 18,177,165.78
  5. Step 5: Solve for x
    x = 18,177,165.78/3,139.24
  6. Step 6: Final answer
    x = 5,790.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.