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Finding the Third Proportional to 108,081.38 and 172,662.56

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Solution

The third proportional to 108,081.38 and 172,662.56 is: 275,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,081.38 : 172,662.56 = 172,662.56 : x
  2. Step 2: Convert to fraction form
    108,081.38/172,662.56 = 172,662.56/x
  3. Step 3: Cross multiply
    108,081.38x = 172,662.56 × 172,662.56
  4. Step 4: Simplify right side
    108,081.38x = 29,812,360,489.07
  5. Step 5: Solve for x
    x = 29,812,360,489.07/108,081.38
  6. Step 6: Final answer
    x = 275,832.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.