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Finding the Third Proportional to 382,455 and 840,405

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Solution

The third proportional to 382,455 and 840,405 is: 1,846,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,455 : 840,405 = 840,405 : x
  2. Step 2: Convert to fraction form
    382,455/840,405 = 840,405/x
  3. Step 3: Cross multiply
    382,455x = 840,405 × 840,405
  4. Step 4: Simplify right side
    382,455x = 706,280,564,025
  5. Step 5: Solve for x
    x = 706,280,564,025/382,455
  6. Step 6: Final answer
    x = 1,846,702.39

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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.