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Finding the Third Proportional to 515,824 and 789,000

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Solution

The third proportional to 515,824 and 789,000 is: 1,206,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,824 : 789,000 = 789,000 : x
  2. Step 2: Convert to fraction form
    515,824/789,000 = 789,000/x
  3. Step 3: Cross multiply
    515,824x = 789,000 × 789,000
  4. Step 4: Simplify right side
    515,824x = 622,521,000,000
  5. Step 5: Solve for x
    x = 622,521,000,000/515,824
  6. Step 6: Final answer
    x = 1,206,847.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.