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Finding the Third Proportional to 222,769 and 319,231

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Solution

The third proportional to 222,769 and 319,231 is: 457,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,769 : 319,231 = 319,231 : x
  2. Step 2: Convert to fraction form
    222,769/319,231 = 319,231/x
  3. Step 3: Cross multiply
    222,769x = 319,231 × 319,231
  4. Step 4: Simplify right side
    222,769x = 101,908,431,361
  5. Step 5: Solve for x
    x = 101,908,431,361/222,769
  6. Step 6: Final answer
    x = 457,462.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.