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Finding the Third Proportional to 300,366.56 and 656,121.94

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Solution

The third proportional to 300,366.56 and 656,121.94 is: 1,433,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,366.56 : 656,121.94 = 656,121.94 : x
  2. Step 2: Convert to fraction form
    300,366.56/656,121.94 = 656,121.94/x
  3. Step 3: Cross multiply
    300,366.56x = 656,121.94 × 656,121.94
  4. Step 4: Simplify right side
    300,366.56x = 430,495,996,868.75
  5. Step 5: Solve for x
    x = 430,495,996,868.75/300,366.56
  6. Step 6: Final answer
    x = 1,433,235.42

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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.