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Finding the Third Proportional to 222,442 and 344,721

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Solution

The third proportional to 222,442 and 344,721 is: 534,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,442 : 344,721 = 344,721 : x
  2. Step 2: Convert to fraction form
    222,442/344,721 = 344,721/x
  3. Step 3: Cross multiply
    222,442x = 344,721 × 344,721
  4. Step 4: Simplify right side
    222,442x = 118,832,567,841
  5. Step 5: Solve for x
    x = 118,832,567,841/222,442
  6. Step 6: Final answer
    x = 534,218.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.