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Finding the Third Proportional to 381,937.50 and 840,143.25

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Solution

The third proportional to 381,937.50 and 840,143.25 is: 1,848,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,937.50 : 840,143.25 = 840,143.25 : x
  2. Step 2: Convert to fraction form
    381,937.50/840,143.25 = 840,143.25/x
  3. Step 3: Cross multiply
    381,937.50x = 840,143.25 × 840,143.25
  4. Step 4: Simplify right side
    381,937.50x = 705,840,680,520.56
  5. Step 5: Solve for x
    x = 705,840,680,520.56/381,937.50
  6. Step 6: Final answer
    x = 1,848,052.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.