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Finding the Third Proportional to 198,324 and 435,834

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Solution

The third proportional to 198,324 and 435,834 is: 957,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,324 : 435,834 = 435,834 : x
  2. Step 2: Convert to fraction form
    198,324/435,834 = 435,834/x
  3. Step 3: Cross multiply
    198,324x = 435,834 × 435,834
  4. Step 4: Simplify right side
    198,324x = 189,951,275,556
  5. Step 5: Solve for x
    x = 189,951,275,556/198,324
  6. Step 6: Final answer
    x = 957,782.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.