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Finding the Third Proportional to 115,408.39 and 172,651.26

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Solution

The third proportional to 115,408.39 and 172,651.26 is: 258,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,408.39 : 172,651.26 = 172,651.26 : x
  2. Step 2: Convert to fraction form
    115,408.39/172,651.26 = 172,651.26/x
  3. Step 3: Cross multiply
    115,408.39x = 172,651.26 × 172,651.26
  4. Step 4: Simplify right side
    115,408.39x = 29,808,458,510.29
  5. Step 5: Solve for x
    x = 29,808,458,510.29/115,408.39
  6. Step 6: Final answer
    x = 258,286.76

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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.