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Finding the Third Proportional to 414,867.94 and 640,726.31

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Solution

The third proportional to 414,867.94 and 640,726.31 is: 989,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,867.94 : 640,726.31 = 640,726.31 : x
  2. Step 2: Convert to fraction form
    414,867.94/640,726.31 = 640,726.31/x
  3. Step 3: Cross multiply
    414,867.94x = 640,726.31 × 640,726.31
  4. Step 4: Simplify right side
    414,867.94x = 410,530,207,529.85
  5. Step 5: Solve for x
    x = 410,530,207,529.85/414,867.94
  6. Step 6: Final answer
    x = 989,544.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.