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Finding the Third Proportional to 198,831 and 307,183.50

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Solution

The third proportional to 198,831 and 307,183.50 is: 474,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,831 : 307,183.50 = 307,183.50 : x
  2. Step 2: Convert to fraction form
    198,831/307,183.50 = 307,183.50/x
  3. Step 3: Cross multiply
    198,831x = 307,183.50 × 307,183.50
  4. Step 4: Simplify right side
    198,831x = 94,361,702,672.25
  5. Step 5: Solve for x
    x = 94,361,702,672.25/198,831
  6. Step 6: Final answer
    x = 474,582.45

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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.