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Finding the Third Proportional to 300,900 and 660,840

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Solution

The third proportional to 300,900 and 660,840 is: 1,451,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,900 : 660,840 = 660,840 : x
  2. Step 2: Convert to fraction form
    300,900/660,840 = 660,840/x
  3. Step 3: Cross multiply
    300,900x = 660,840 × 660,840
  4. Step 4: Simplify right side
    300,900x = 436,709,505,600
  5. Step 5: Solve for x
    x = 436,709,505,600/300,900
  6. Step 6: Final answer
    x = 1,451,344.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.