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Finding the Third Proportional to 79,857.56 and 176,321.81

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Solution

The third proportional to 79,857.56 and 176,321.81 is: 389,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,857.56 : 176,321.81 = 176,321.81 : x
  2. Step 2: Convert to fraction form
    79,857.56/176,321.81 = 176,321.81/x
  3. Step 3: Cross multiply
    79,857.56x = 176,321.81 × 176,321.81
  4. Step 4: Simplify right side
    79,857.56x = 31,089,381,563.29
  5. Step 5: Solve for x
    x = 31,089,381,563.29/79,857.56
  6. Step 6: Final answer
    x = 389,310.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.