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Finding the Third Proportional to 198,363 and 297,984.75

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Solution

The third proportional to 198,363 and 297,984.75 is: 447,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,363 : 297,984.75 = 297,984.75 : x
  2. Step 2: Convert to fraction form
    198,363/297,984.75 = 297,984.75/x
  3. Step 3: Cross multiply
    198,363x = 297,984.75 × 297,984.75
  4. Step 4: Simplify right side
    198,363x = 88,794,911,232.56
  5. Step 5: Solve for x
    x = 88,794,911,232.56/198,363
  6. Step 6: Final answer
    x = 447,638.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.