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Finding the Third Proportional to 115,506.38 and 172,789.50

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Solution

The third proportional to 115,506.38 and 172,789.50 is: 258,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,506.38 : 172,789.50 = 172,789.50 : x
  2. Step 2: Convert to fraction form
    115,506.38/172,789.50 = 172,789.50/x
  3. Step 3: Cross multiply
    115,506.38x = 172,789.50 × 172,789.50
  4. Step 4: Simplify right side
    115,506.38x = 29,856,211,310.25
  5. Step 5: Solve for x
    x = 29,856,211,310.25/115,506.38
  6. Step 6: Final answer
    x = 258,481.07

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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.