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Finding the Third Proportional to 171,822 and 258,051

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Solution

The third proportional to 171,822 and 258,051 is: 387,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,822 : 258,051 = 258,051 : x
  2. Step 2: Convert to fraction form
    171,822/258,051 = 258,051/x
  3. Step 3: Cross multiply
    171,822x = 258,051 × 258,051
  4. Step 4: Simplify right side
    171,822x = 66,590,318,601
  5. Step 5: Solve for x
    x = 66,590,318,601/171,822
  6. Step 6: Final answer
    x = 387,554.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.