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Finding the Third Proportional to 100,448 and 218,755

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Solution

The third proportional to 100,448 and 218,755 is: 476,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448 : 218,755 = 218,755 : x
  2. Step 2: Convert to fraction form
    100,448/218,755 = 218,755/x
  3. Step 3: Cross multiply
    100,448x = 218,755 × 218,755
  4. Step 4: Simplify right side
    100,448x = 47,853,750,025
  5. Step 5: Solve for x
    x = 47,853,750,025/100,448
  6. Step 6: Final answer
    x = 476,403.21

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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.