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Finding the Third Proportional to 198,378 and 299,414.25

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Solution

The third proportional to 198,378 and 299,414.25 is: 451,909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,378 : 299,414.25 = 299,414.25 : x
  2. Step 2: Convert to fraction form
    198,378/299,414.25 = 299,414.25/x
  3. Step 3: Cross multiply
    198,378x = 299,414.25 × 299,414.25
  4. Step 4: Simplify right side
    198,378x = 89,648,893,103.06
  5. Step 5: Solve for x
    x = 89,648,893,103.06/198,378
  6. Step 6: Final answer
    x = 451,909.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.