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Finding the Third Proportional to 198,409.50 and 434,079

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Solution

The third proportional to 198,409.50 and 434,079 is: 949,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,409.50 : 434,079 = 434,079 : x
  2. Step 2: Convert to fraction form
    198,409.50/434,079 = 434,079/x
  3. Step 3: Cross multiply
    198,409.50x = 434,079 × 434,079
  4. Step 4: Simplify right side
    198,409.50x = 188,424,578,241
  5. Step 5: Solve for x
    x = 188,424,578,241/198,409.50
  6. Step 6: Final answer
    x = 949,675.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.