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Finding the Third Proportional to 142,721 and 222,252

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Solution

The third proportional to 142,721 and 222,252 is: 346,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,721 : 222,252 = 222,252 : x
  2. Step 2: Convert to fraction form
    142,721/222,252 = 222,252/x
  3. Step 3: Cross multiply
    142,721x = 222,252 × 222,252
  4. Step 4: Simplify right side
    142,721x = 49,395,951,504
  5. Step 5: Solve for x
    x = 49,395,951,504/142,721
  6. Step 6: Final answer
    x = 346,101.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.