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Finding the Third Proportional to 101,646 and 222,921

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Solution

The third proportional to 101,646 and 222,921 is: 488,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,646 : 222,921 = 222,921 : x
  2. Step 2: Convert to fraction form
    101,646/222,921 = 222,921/x
  3. Step 3: Cross multiply
    101,646x = 222,921 × 222,921
  4. Step 4: Simplify right side
    101,646x = 49,693,772,241
  5. Step 5: Solve for x
    x = 49,693,772,241/101,646
  6. Step 6: Final answer
    x = 488,890.58

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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.