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Finding the Third Proportional to 101,223 and 222,129

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Solution

The third proportional to 101,223 and 222,129 is: 487,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,223 : 222,129 = 222,129 : x
  2. Step 2: Convert to fraction form
    101,223/222,129 = 222,129/x
  3. Step 3: Cross multiply
    101,223x = 222,129 × 222,129
  4. Step 4: Simplify right side
    101,223x = 49,341,292,641
  5. Step 5: Solve for x
    x = 49,341,292,641/101,223
  6. Step 6: Final answer
    x = 487,451.40

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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.