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Finding the Third Proportional to 323,742 and 660,330

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Solution

The third proportional to 323,742 and 660,330 is: 1,346,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,742 : 660,330 = 660,330 : x
  2. Step 2: Convert to fraction form
    323,742/660,330 = 660,330/x
  3. Step 3: Cross multiply
    323,742x = 660,330 × 660,330
  4. Step 4: Simplify right side
    323,742x = 436,035,708,900
  5. Step 5: Solve for x
    x = 436,035,708,900/323,742
  6. Step 6: Final answer
    x = 1,346,861.73

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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.