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Finding the Third Proportional to 377,007.75 and 820,356.19

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Solution

The third proportional to 377,007.75 and 820,356.19 is: 1,785,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,007.75 : 820,356.19 = 820,356.19 : x
  2. Step 2: Convert to fraction form
    377,007.75/820,356.19 = 820,356.19/x
  3. Step 3: Cross multiply
    377,007.75x = 820,356.19 × 820,356.19
  4. Step 4: Simplify right side
    377,007.75x = 672,984,274,369.54
  5. Step 5: Solve for x
    x = 672,984,274,369.54/377,007.75
  6. Step 6: Final answer
    x = 1,785,067.48

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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.