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Finding the Third Proportional to 100,433.25 and 218,727

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Solution

The third proportional to 100,433.25 and 218,727 is: 476,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,433.25 : 218,727 = 218,727 : x
  2. Step 2: Convert to fraction form
    100,433.25/218,727 = 218,727/x
  3. Step 3: Cross multiply
    100,433.25x = 218,727 × 218,727
  4. Step 4: Simplify right side
    100,433.25x = 47,841,500,529
  5. Step 5: Solve for x
    x = 47,841,500,529/100,433.25
  6. Step 6: Final answer
    x = 476,351.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.