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Finding the Third Proportional to 800,378 and 1,889,325

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Solution

The third proportional to 800,378 and 1,889,325 is: 4,459,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,378 : 1,889,325 = 1,889,325 : x
  2. Step 2: Convert to fraction form
    800,378/1,889,325 = 1,889,325/x
  3. Step 3: Cross multiply
    800,378x = 1,889,325 × 1,889,325
  4. Step 4: Simplify right side
    800,378x = 3,569,548,955,625
  5. Step 5: Solve for x
    x = 3,569,548,955,625/800,378
  6. Step 6: Final answer
    x = 4,459,828.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.