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Finding the Third Proportional to 198,675.28 and 387,645.75

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Solution

The third proportional to 198,675.28 and 387,645.75 is: 756,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,675.28 : 387,645.75 = 387,645.75 : x
  2. Step 2: Convert to fraction form
    198,675.28/387,645.75 = 387,645.75/x
  3. Step 3: Cross multiply
    198,675.28x = 387,645.75 × 387,645.75
  4. Step 4: Simplify right side
    198,675.28x = 150,269,227,493.06
  5. Step 5: Solve for x
    x = 150,269,227,493.06/198,675.28
  6. Step 6: Final answer
    x = 756,355.93

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.