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Finding the Third Proportional to 223,469 and 319,228

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Solution

The third proportional to 223,469 and 319,228 is: 456,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,469 : 319,228 = 319,228 : x
  2. Step 2: Convert to fraction form
    223,469/319,228 = 319,228/x
  3. Step 3: Cross multiply
    223,469x = 319,228 × 319,228
  4. Step 4: Simplify right side
    223,469x = 101,906,515,984
  5. Step 5: Solve for x
    x = 101,906,515,984/223,469
  6. Step 6: Final answer
    x = 456,020.82

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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.