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Finding the Third Proportional to 400,608 and 936,288

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Solution

The third proportional to 400,608 and 936,288 is: 2,188,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,608 : 936,288 = 936,288 : x
  2. Step 2: Convert to fraction form
    400,608/936,288 = 936,288/x
  3. Step 3: Cross multiply
    400,608x = 936,288 × 936,288
  4. Step 4: Simplify right side
    400,608x = 876,635,218,944
  5. Step 5: Solve for x
    x = 876,635,218,944/400,608
  6. Step 6: Final answer
    x = 2,188,261.89

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.