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Finding the Third Proportional to 382,410 and 789,381

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Solution

The third proportional to 382,410 and 789,381 is: 1,629,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,410 : 789,381 = 789,381 : x
  2. Step 2: Convert to fraction form
    382,410/789,381 = 789,381/x
  3. Step 3: Cross multiply
    382,410x = 789,381 × 789,381
  4. Step 4: Simplify right side
    382,410x = 623,122,363,161
  5. Step 5: Solve for x
    x = 623,122,363,161/382,410
  6. Step 6: Final answer
    x = 1,629,461.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.