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Finding the Third Proportional to 171,848 and 258,828

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Solution

The third proportional to 171,848 and 258,828 is: 389,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,848 : 258,828 = 258,828 : x
  2. Step 2: Convert to fraction form
    171,848/258,828 = 258,828/x
  3. Step 3: Cross multiply
    171,848x = 258,828 × 258,828
  4. Step 4: Simplify right side
    171,848x = 66,991,933,584
  5. Step 5: Solve for x
    x = 66,991,933,584/171,848
  6. Step 6: Final answer
    x = 389,832.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.