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Finding the Third Proportional to 198,044.75 and 412,409.50

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Solution

The third proportional to 198,044.75 and 412,409.50 is: 858,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,044.75 : 412,409.50 = 412,409.50 : x
  2. Step 2: Convert to fraction form
    198,044.75/412,409.50 = 412,409.50/x
  3. Step 3: Cross multiply
    198,044.75x = 412,409.50 × 412,409.50
  4. Step 4: Simplify right side
    198,044.75x = 170,081,595,690.25
  5. Step 5: Solve for x
    x = 170,081,595,690.25/198,044.75
  6. Step 6: Final answer
    x = 858,803.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.