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Finding the Third Proportional to 81,600.75 and 172,999.13

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Solution

The third proportional to 81,600.75 and 172,999.13 is: 366,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,600.75 : 172,999.13 = 172,999.13 : x
  2. Step 2: Convert to fraction form
    81,600.75/172,999.13 = 172,999.13/x
  3. Step 3: Cross multiply
    81,600.75x = 172,999.13 × 172,999.13
  4. Step 4: Simplify right side
    81,600.75x = 29,928,697,250.77
  5. Step 5: Solve for x
    x = 29,928,697,250.77/81,600.75
  6. Step 6: Final answer
    x = 366,769.88

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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.