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Finding the Third Proportional to 378,222.75 and 809,961.75

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Solution

The third proportional to 378,222.75 and 809,961.75 is: 1,734,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,222.75 : 809,961.75 = 809,961.75 : x
  2. Step 2: Convert to fraction form
    378,222.75/809,961.75 = 809,961.75/x
  3. Step 3: Cross multiply
    378,222.75x = 809,961.75 × 809,961.75
  4. Step 4: Simplify right side
    378,222.75x = 656,038,036,463.06
  5. Step 5: Solve for x
    x = 656,038,036,463.06/378,222.75
  6. Step 6: Final answer
    x = 1,734,528.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.