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Finding the Third Proportional to 388 and 892.25

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Solution

The third proportional to 388 and 892.25 is: 2,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    388 : 892.25 = 892.25 : x
  2. Step 2: Convert to fraction form
    388/892.25 = 892.25/x
  3. Step 3: Cross multiply
    388x = 892.25 × 892.25
  4. Step 4: Simplify right side
    388x = 796,110.06
  5. Step 5: Solve for x
    x = 796,110.06/388
  6. Step 6: Final answer
    x = 2,051.83

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.