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Finding the Third Proportional to 198,960 and 308,526

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Solution

The third proportional to 198,960 and 308,526 is: 478,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,960 : 308,526 = 308,526 : x
  2. Step 2: Convert to fraction form
    198,960/308,526 = 308,526/x
  3. Step 3: Cross multiply
    198,960x = 308,526 × 308,526
  4. Step 4: Simplify right side
    198,960x = 95,188,292,676
  5. Step 5: Solve for x
    x = 95,188,292,676/198,960
  6. Step 6: Final answer
    x = 478,429.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.