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Finding the Third Proportional to 323,489 and 703,660

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Solution

The third proportional to 323,489 and 703,660 is: 1,530,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,489 : 703,660 = 703,660 : x
  2. Step 2: Convert to fraction form
    323,489/703,660 = 703,660/x
  3. Step 3: Cross multiply
    323,489x = 703,660 × 703,660
  4. Step 4: Simplify right side
    323,489x = 495,137,395,600
  5. Step 5: Solve for x
    x = 495,137,395,600/323,489
  6. Step 6: Final answer
    x = 1,530,615.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.