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Finding the Third Proportional to 323,220 and 703,407

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Solution

The third proportional to 323,220 and 703,407 is: 1,530,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,220 : 703,407 = 703,407 : x
  2. Step 2: Convert to fraction form
    323,220/703,407 = 703,407/x
  3. Step 3: Cross multiply
    323,220x = 703,407 × 703,407
  4. Step 4: Simplify right side
    323,220x = 494,781,407,649
  5. Step 5: Solve for x
    x = 494,781,407,649/323,220
  6. Step 6: Final answer
    x = 1,530,788.34

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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.