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Finding the Third Proportional to 561,028 and 789,126

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Solution

The third proportional to 561,028 and 789,126 is: 1,109,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,028 : 789,126 = 789,126 : x
  2. Step 2: Convert to fraction form
    561,028/789,126 = 789,126/x
  3. Step 3: Cross multiply
    561,028x = 789,126 × 789,126
  4. Step 4: Simplify right side
    561,028x = 622,719,843,876
  5. Step 5: Solve for x
    x = 622,719,843,876/561,028
  6. Step 6: Final answer
    x = 1,109,962.15

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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.