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Finding the Third Proportional to 172,143.38 and 258,215.44

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Solution

The third proportional to 172,143.38 and 258,215.44 is: 387,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,143.38 : 258,215.44 = 258,215.44 : x
  2. Step 2: Convert to fraction form
    172,143.38/258,215.44 = 258,215.44/x
  3. Step 3: Cross multiply
    172,143.38x = 258,215.44 × 258,215.44
  4. Step 4: Simplify right side
    172,143.38x = 66,675,212,163.32
  5. Step 5: Solve for x
    x = 66,675,212,163.32/172,143.38
  6. Step 6: Final answer
    x = 387,323.72

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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.