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Finding the Third Proportional to 198,396 and 440,932.50

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Solution

The third proportional to 198,396 and 440,932.50 is: 979,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,396 : 440,932.50 = 440,932.50 : x
  2. Step 2: Convert to fraction form
    198,396/440,932.50 = 440,932.50/x
  3. Step 3: Cross multiply
    198,396x = 440,932.50 × 440,932.50
  4. Step 4: Simplify right side
    198,396x = 194,421,469,556.25
  5. Step 5: Solve for x
    x = 194,421,469,556.25/198,396
  6. Step 6: Final answer
    x = 979,966.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.