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Finding the Third Proportional to 497,489 and 789,022

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Solution

The third proportional to 497,489 and 789,022 is: 1,251,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,489 : 789,022 = 789,022 : x
  2. Step 2: Convert to fraction form
    497,489/789,022 = 789,022/x
  3. Step 3: Cross multiply
    497,489x = 789,022 × 789,022
  4. Step 4: Simplify right side
    497,489x = 622,555,716,484
  5. Step 5: Solve for x
    x = 622,555,716,484/497,489
  6. Step 6: Final answer
    x = 1,251,395.94

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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.