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Finding the Third Proportional to 414,828 and 641,686

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Solution

The third proportional to 414,828 and 641,686 is: 992,606.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,828 : 641,686 = 641,686 : x
  2. Step 2: Convert to fraction form
    414,828/641,686 = 641,686/x
  3. Step 3: Cross multiply
    414,828x = 641,686 × 641,686
  4. Step 4: Simplify right side
    414,828x = 411,760,922,596
  5. Step 5: Solve for x
    x = 411,760,922,596/414,828
  6. Step 6: Final answer
    x = 992,606.39

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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.