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Finding the Third Proportional to 323,420 and 703,380

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Solution

The third proportional to 323,420 and 703,380 is: 1,529,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,420 : 703,380 = 703,380 : x
  2. Step 2: Convert to fraction form
    323,420/703,380 = 703,380/x
  3. Step 3: Cross multiply
    323,420x = 703,380 × 703,380
  4. Step 4: Simplify right side
    323,420x = 494,743,424,400
  5. Step 5: Solve for x
    x = 494,743,424,400/323,420
  6. Step 6: Final answer
    x = 1,529,724.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.