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Finding the Third Proportional to 376,998.75 and 820,473.75

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Solution

The third proportional to 376,998.75 and 820,473.75 is: 1,785,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,998.75 : 820,473.75 = 820,473.75 : x
  2. Step 2: Convert to fraction form
    376,998.75/820,473.75 = 820,473.75/x
  3. Step 3: Cross multiply
    376,998.75x = 820,473.75 × 820,473.75
  4. Step 4: Simplify right side
    376,998.75x = 673,177,174,439.06
  5. Step 5: Solve for x
    x = 673,177,174,439.06/376,998.75
  6. Step 6: Final answer
    x = 1,785,621.77

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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.