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Finding the Third Proportional to 512,633 and 789,030

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Solution

The third proportional to 512,633 and 789,030 is: 1,214,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,633 : 789,030 = 789,030 : x
  2. Step 2: Convert to fraction form
    512,633/789,030 = 789,030/x
  3. Step 3: Cross multiply
    512,633x = 789,030 × 789,030
  4. Step 4: Simplify right side
    512,633x = 622,568,340,900
  5. Step 5: Solve for x
    x = 622,568,340,900/512,633
  6. Step 6: Final answer
    x = 1,214,452.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.