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Finding the Third Proportional to 414,444 and 641,896

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Solution

The third proportional to 414,444 and 641,896 is: 994,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,444 : 641,896 = 641,896 : x
  2. Step 2: Convert to fraction form
    414,444/641,896 = 641,896/x
  3. Step 3: Cross multiply
    414,444x = 641,896 × 641,896
  4. Step 4: Simplify right side
    414,444x = 412,030,474,816
  5. Step 5: Solve for x
    x = 412,030,474,816/414,444
  6. Step 6: Final answer
    x = 994,176.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.