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Finding the Third Proportional to 323,716 and 660,285

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Solution

The third proportional to 323,716 and 660,285 is: 1,346,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,716 : 660,285 = 660,285 : x
  2. Step 2: Convert to fraction form
    323,716/660,285 = 660,285/x
  3. Step 3: Cross multiply
    323,716x = 660,285 × 660,285
  4. Step 4: Simplify right side
    323,716x = 435,976,281,225
  5. Step 5: Solve for x
    x = 435,976,281,225/323,716
  6. Step 6: Final answer
    x = 1,346,786.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.