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Finding the Third Proportional to 85,251.75 and 133,440.75

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Solution

The third proportional to 85,251.75 and 133,440.75 is: 208,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,251.75 : 133,440.75 = 133,440.75 : x
  2. Step 2: Convert to fraction form
    85,251.75/133,440.75 = 133,440.75/x
  3. Step 3: Cross multiply
    85,251.75x = 133,440.75 × 133,440.75
  4. Step 4: Simplify right side
    85,251.75x = 17,806,433,760.56
  5. Step 5: Solve for x
    x = 17,806,433,760.56/85,251.75
  6. Step 6: Final answer
    x = 208,868.84

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.