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Finding the Third Proportional to 381,217.50 and 801,747

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Solution

The third proportional to 381,217.50 and 801,747 is: 1,686,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,217.50 : 801,747 = 801,747 : x
  2. Step 2: Convert to fraction form
    381,217.50/801,747 = 801,747/x
  3. Step 3: Cross multiply
    381,217.50x = 801,747 × 801,747
  4. Step 4: Simplify right side
    381,217.50x = 642,798,252,009
  5. Step 5: Solve for x
    x = 642,798,252,009/381,217.50
  6. Step 6: Final answer
    x = 1,686,171.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.