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Finding the Third Proportional to 198,315 and 297,908

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Solution

The third proportional to 198,315 and 297,908 is: 447,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,315 : 297,908 = 297,908 : x
  2. Step 2: Convert to fraction form
    198,315/297,908 = 297,908/x
  3. Step 3: Cross multiply
    198,315x = 297,908 × 297,908
  4. Step 4: Simplify right side
    198,315x = 88,749,176,464
  5. Step 5: Solve for x
    x = 88,749,176,464/198,315
  6. Step 6: Final answer
    x = 447,516.21

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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.