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Finding the Third Proportional to 381,330 and 829,014.75

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Solution

The third proportional to 381,330 and 829,014.75 is: 1,802,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,330 : 829,014.75 = 829,014.75 : x
  2. Step 2: Convert to fraction form
    381,330/829,014.75 = 829,014.75/x
  3. Step 3: Cross multiply
    381,330x = 829,014.75 × 829,014.75
  4. Step 4: Simplify right side
    381,330x = 687,265,455,717.56
  5. Step 5: Solve for x
    x = 687,265,455,717.56/381,330
  6. Step 6: Final answer
    x = 1,802,285.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.