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Finding the Third Proportional to 300,884.63 and 660,813.19

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Solution

The third proportional to 300,884.63 and 660,813.19 is: 1,451,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,884.63 : 660,813.19 = 660,813.19 : x
  2. Step 2: Convert to fraction form
    300,884.63/660,813.19 = 660,813.19/x
  3. Step 3: Cross multiply
    300,884.63x = 660,813.19 × 660,813.19
  4. Step 4: Simplify right side
    300,884.63x = 436,674,068,773.91
  5. Step 5: Solve for x
    x = 436,674,068,773.91/300,884.63
  6. Step 6: Final answer
    x = 1,451,300.71

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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.