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Finding the Third Proportional to 179,785.50 and 399,474

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Solution

The third proportional to 179,785.50 and 399,474 is: 887,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,785.50 : 399,474 = 399,474 : x
  2. Step 2: Convert to fraction form
    179,785.50/399,474 = 399,474/x
  3. Step 3: Cross multiply
    179,785.50x = 399,474 × 399,474
  4. Step 4: Simplify right side
    179,785.50x = 159,579,476,676
  5. Step 5: Solve for x
    x = 159,579,476,676/179,785.50
  6. Step 6: Final answer
    x = 887,610.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.