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Finding the Third Proportional to 298,215 and 640,923

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Solution

The third proportional to 298,215 and 640,923 is: 1,377,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,215 : 640,923 = 640,923 : x
  2. Step 2: Convert to fraction form
    298,215/640,923 = 640,923/x
  3. Step 3: Cross multiply
    298,215x = 640,923 × 640,923
  4. Step 4: Simplify right side
    298,215x = 410,782,291,929
  5. Step 5: Solve for x
    x = 410,782,291,929/298,215
  6. Step 6: Final answer
    x = 1,377,470.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.