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Finding the Third Proportional to 101,209 and 222,102

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Solution

The third proportional to 101,209 and 222,102 is: 487,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,209 : 222,102 = 222,102 : x
  2. Step 2: Convert to fraction form
    101,209/222,102 = 222,102/x
  3. Step 3: Cross multiply
    101,209x = 222,102 × 222,102
  4. Step 4: Simplify right side
    101,209x = 49,329,298,404
  5. Step 5: Solve for x
    x = 49,329,298,404/101,209
  6. Step 6: Final answer
    x = 487,400.31

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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.