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Finding the Third Proportional to 142,720 and 222,249

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Solution

The third proportional to 142,720 and 222,249 is: 346,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,720 : 222,249 = 222,249 : x
  2. Step 2: Convert to fraction form
    142,720/222,249 = 222,249/x
  3. Step 3: Cross multiply
    142,720x = 222,249 × 222,249
  4. Step 4: Simplify right side
    142,720x = 49,394,618,001
  5. Step 5: Solve for x
    x = 49,394,618,001/142,720
  6. Step 6: Final answer
    x = 346,094.58

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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.