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Finding the Third Proportional to 101,644.50 and 222,918

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Solution

The third proportional to 101,644.50 and 222,918 is: 488,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,644.50 : 222,918 = 222,918 : x
  2. Step 2: Convert to fraction form
    101,644.50/222,918 = 222,918/x
  3. Step 3: Cross multiply
    101,644.50x = 222,918 × 222,918
  4. Step 4: Simplify right side
    101,644.50x = 49,692,434,724
  5. Step 5: Solve for x
    x = 49,692,434,724/101,644.50
  6. Step 6: Final answer
    x = 488,884.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.