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Finding the Third Proportional to 298,214 and 640,924

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Solution

The third proportional to 298,214 and 640,924 is: 1,377,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,214 : 640,924 = 640,924 : x
  2. Step 2: Convert to fraction form
    298,214/640,924 = 640,924/x
  3. Step 3: Cross multiply
    298,214x = 640,924 × 640,924
  4. Step 4: Simplify right side
    298,214x = 410,783,573,776
  5. Step 5: Solve for x
    x = 410,783,573,776/298,214
  6. Step 6: Final answer
    x = 1,377,479.17

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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.