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Finding the Third Proportional to 299,420 and 640,328

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Solution

The third proportional to 299,420 and 640,328 is: 1,369,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,420 : 640,328 = 640,328 : x
  2. Step 2: Convert to fraction form
    299,420/640,328 = 640,328/x
  3. Step 3: Cross multiply
    299,420x = 640,328 × 640,328
  4. Step 4: Simplify right side
    299,420x = 410,019,947,584
  5. Step 5: Solve for x
    x = 410,019,947,584/299,420
  6. Step 6: Final answer
    x = 1,369,380.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.