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Finding the Third Proportional to 387,756 and 831,672

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Solution

The third proportional to 387,756 and 831,672 is: 1,783,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,756 : 831,672 = 831,672 : x
  2. Step 2: Convert to fraction form
    387,756/831,672 = 831,672/x
  3. Step 3: Cross multiply
    387,756x = 831,672 × 831,672
  4. Step 4: Simplify right side
    387,756x = 691,678,315,584
  5. Step 5: Solve for x
    x = 691,678,315,584/387,756
  6. Step 6: Final answer
    x = 1,783,797.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.