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Finding the Third Proportional to 387,081 and 789,714

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Solution

The third proportional to 387,081 and 789,714 is: 1,611,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,081 : 789,714 = 789,714 : x
  2. Step 2: Convert to fraction form
    387,081/789,714 = 789,714/x
  3. Step 3: Cross multiply
    387,081x = 789,714 × 789,714
  4. Step 4: Simplify right side
    387,081x = 623,648,201,796
  5. Step 5: Solve for x
    x = 623,648,201,796/387,081
  6. Step 6: Final answer
    x = 1,611,156.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.