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Finding the Third Proportional to 268,728 and 406,116

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Solution

The third proportional to 268,728 and 406,116 is: 613,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,728 : 406,116 = 406,116 : x
  2. Step 2: Convert to fraction form
    268,728/406,116 = 406,116/x
  3. Step 3: Cross multiply
    268,728x = 406,116 × 406,116
  4. Step 4: Simplify right side
    268,728x = 164,930,205,456
  5. Step 5: Solve for x
    x = 164,930,205,456/268,728
  6. Step 6: Final answer
    x = 613,744.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.