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Finding the Third Proportional to 561,048 and 789,156

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Solution

The third proportional to 561,048 and 789,156 is: 1,110,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,048 : 789,156 = 789,156 : x
  2. Step 2: Convert to fraction form
    561,048/789,156 = 789,156/x
  3. Step 3: Cross multiply
    561,048x = 789,156 × 789,156
  4. Step 4: Simplify right side
    561,048x = 622,767,192,336
  5. Step 5: Solve for x
    x = 622,767,192,336/561,048
  6. Step 6: Final answer
    x = 1,110,006.97

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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.