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Finding the Third Proportional to 259,222 and 423,286

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Solution

The third proportional to 259,222 and 423,286 is: 691,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,222 : 423,286 = 423,286 : x
  2. Step 2: Convert to fraction form
    259,222/423,286 = 423,286/x
  3. Step 3: Cross multiply
    259,222x = 423,286 × 423,286
  4. Step 4: Simplify right side
    259,222x = 179,171,037,796
  5. Step 5: Solve for x
    x = 179,171,037,796/259,222
  6. Step 6: Final answer
    x = 691,187.62

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.