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Finding the Third Proportional to 90,939.75 and 198,399

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Solution

The third proportional to 90,939.75 and 198,399 is: 432,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,939.75 : 198,399 = 198,399 : x
  2. Step 2: Convert to fraction form
    90,939.75/198,399 = 198,399/x
  3. Step 3: Cross multiply
    90,939.75x = 198,399 × 198,399
  4. Step 4: Simplify right side
    90,939.75x = 39,362,163,201
  5. Step 5: Solve for x
    x = 39,362,163,201/90,939.75
  6. Step 6: Final answer
    x = 432,837.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.