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Finding the Third Proportional to 117,850 and 218,464

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Solution

The third proportional to 117,850 and 218,464 is: 404,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,850 : 218,464 = 218,464 : x
  2. Step 2: Convert to fraction form
    117,850/218,464 = 218,464/x
  3. Step 3: Cross multiply
    117,850x = 218,464 × 218,464
  4. Step 4: Simplify right side
    117,850x = 47,726,519,296
  5. Step 5: Solve for x
    x = 47,726,519,296/117,850
  6. Step 6: Final answer
    x = 404,976.83

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.