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Finding the Third Proportional to 497,509 and 789,049

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Solution

The third proportional to 497,509 and 789,049 is: 1,251,431.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,509 : 789,049 = 789,049 : x
  2. Step 2: Convert to fraction form
    497,509/789,049 = 789,049/x
  3. Step 3: Cross multiply
    497,509x = 789,049 × 789,049
  4. Step 4: Simplify right side
    497,509x = 622,598,324,401
  5. Step 5: Solve for x
    x = 622,598,324,401/497,509
  6. Step 6: Final answer
    x = 1,251,431.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.