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Finding the Third Proportional to 81,452.25 and 172,735.88

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Solution

The third proportional to 81,452.25 and 172,735.88 is: 366,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452.25 : 172,735.88 = 172,735.88 : x
  2. Step 2: Convert to fraction form
    81,452.25/172,735.88 = 172,735.88/x
  3. Step 3: Cross multiply
    81,452.25x = 172,735.88 × 172,735.88
  4. Step 4: Simplify right side
    81,452.25x = 29,837,682,512.02
  5. Step 5: Solve for x
    x = 29,837,682,512.02/81,452.25
  6. Step 6: Final answer
    x = 366,321.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.