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Finding the Third Proportional to 133,738.50 and 198,396

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Solution

The third proportional to 133,738.50 and 198,396 is: 294,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,738.50 : 198,396 = 198,396 : x
  2. Step 2: Convert to fraction form
    133,738.50/198,396 = 198,396/x
  3. Step 3: Cross multiply
    133,738.50x = 198,396 × 198,396
  4. Step 4: Simplify right side
    133,738.50x = 39,360,972,816
  5. Step 5: Solve for x
    x = 39,360,972,816/133,738.50
  6. Step 6: Final answer
    x = 294,312.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.