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Finding the Third Proportional to 406,998 and 622,593

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Solution

The third proportional to 406,998 and 622,593 is: 952,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,998 : 622,593 = 622,593 : x
  2. Step 2: Convert to fraction form
    406,998/622,593 = 622,593/x
  3. Step 3: Cross multiply
    406,998x = 622,593 × 622,593
  4. Step 4: Simplify right side
    406,998x = 387,622,043,649
  5. Step 5: Solve for x
    x = 387,622,043,649/406,998
  6. Step 6: Final answer
    x = 952,392.99

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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.