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Finding the Third Proportional to 381,938 and 840,145

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Solution

The third proportional to 381,938 and 840,145 is: 1,848,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,938 : 840,145 = 840,145 : x
  2. Step 2: Convert to fraction form
    381,938/840,145 = 840,145/x
  3. Step 3: Cross multiply
    381,938x = 840,145 × 840,145
  4. Step 4: Simplify right side
    381,938x = 705,843,621,025
  5. Step 5: Solve for x
    x = 705,843,621,025/381,938
  6. Step 6: Final answer
    x = 1,848,058.12

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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.