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Finding the Third Proportional to 258,206 and 352,015

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Solution

The third proportional to 258,206 and 352,015 is: 479,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,206 : 352,015 = 352,015 : x
  2. Step 2: Convert to fraction form
    258,206/352,015 = 352,015/x
  3. Step 3: Cross multiply
    258,206x = 352,015 × 352,015
  4. Step 4: Simplify right side
    258,206x = 123,914,560,225
  5. Step 5: Solve for x
    x = 123,914,560,225/258,206
  6. Step 6: Final answer
    x = 479,905.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.