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Finding the Third Proportional to 400.78 and 927.28

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Solution

The third proportional to 400.78 and 927.28 is: 2,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 927.28 = 927.28 : x
  2. Step 2: Convert to fraction form
    400.78/927.28 = 927.28/x
  3. Step 3: Cross multiply
    400.78x = 927.28 × 927.28
  4. Step 4: Simplify right side
    400.78x = 859,850.52
  5. Step 5: Solve for x
    x = 859,850.52/400.78
  6. Step 6: Final answer
    x = 2,145.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.