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Finding the Third Proportional to 398,947.50 and 613,183.50

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Solution

The third proportional to 398,947.50 and 613,183.50 is: 942,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,947.50 : 613,183.50 = 613,183.50 : x
  2. Step 2: Convert to fraction form
    398,947.50/613,183.50 = 613,183.50/x
  3. Step 3: Cross multiply
    398,947.50x = 613,183.50 × 613,183.50
  4. Step 4: Simplify right side
    398,947.50x = 375,994,004,672.25
  5. Step 5: Solve for x
    x = 375,994,004,672.25/398,947.50
  6. Step 6: Final answer
    x = 942,464.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.