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Finding the Third Proportional to 561,027 and 789,124

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Solution

The third proportional to 561,027 and 789,124 is: 1,109,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,027 : 789,124 = 789,124 : x
  2. Step 2: Convert to fraction form
    561,027/789,124 = 789,124/x
  3. Step 3: Cross multiply
    561,027x = 789,124 × 789,124
  4. Step 4: Simplify right side
    561,027x = 622,716,687,376
  5. Step 5: Solve for x
    x = 622,716,687,376/561,027
  6. Step 6: Final answer
    x = 1,109,958.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.