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Finding the Third Proportional to 561,034 and 789,135

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Solution

The third proportional to 561,034 and 789,135 is: 1,109,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,034 : 789,135 = 789,135 : x
  2. Step 2: Convert to fraction form
    561,034/789,135 = 789,135/x
  3. Step 3: Cross multiply
    561,034x = 789,135 × 789,135
  4. Step 4: Simplify right side
    561,034x = 622,734,048,225
  5. Step 5: Solve for x
    x = 622,734,048,225/561,034
  6. Step 6: Final answer
    x = 1,109,975.60

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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.