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Finding the Third Proportional to 198,328.50 and 407,218.50

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Solution

The third proportional to 198,328.50 and 407,218.50 is: 836,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,328.50 : 407,218.50 = 407,218.50 : x
  2. Step 2: Convert to fraction form
    198,328.50/407,218.50 = 407,218.50/x
  3. Step 3: Cross multiply
    198,328.50x = 407,218.50 × 407,218.50
  4. Step 4: Simplify right side
    198,328.50x = 165,826,906,742.25
  5. Step 5: Solve for x
    x = 165,826,906,742.25/198,328.50
  6. Step 6: Final answer
    x = 836,122.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.