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Finding the Third Proportional to 68,792 and 91,731.75

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Solution

The third proportional to 68,792 and 91,731.75 is: 122,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,792 : 91,731.75 = 91,731.75 : x
  2. Step 2: Convert to fraction form
    68,792/91,731.75 = 91,731.75/x
  3. Step 3: Cross multiply
    68,792x = 91,731.75 × 91,731.75
  4. Step 4: Simplify right side
    68,792x = 8,414,713,958.06
  5. Step 5: Solve for x
    x = 8,414,713,958.06/68,792
  6. Step 6: Final answer
    x = 122,321.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.