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Finding the Third Proportional to 198,153 and 306,949.50

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Solution

The third proportional to 198,153 and 306,949.50 is: 475,481.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,153 : 306,949.50 = 306,949.50 : x
  2. Step 2: Convert to fraction form
    198,153/306,949.50 = 306,949.50/x
  3. Step 3: Cross multiply
    198,153x = 306,949.50 × 306,949.50
  4. Step 4: Simplify right side
    198,153x = 94,217,995,550.25
  5. Step 5: Solve for x
    x = 94,217,995,550.25/198,153
  6. Step 6: Final answer
    x = 475,481.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.