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Finding the Third Proportional to 179,782 and 399,471

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Solution

The third proportional to 179,782 and 399,471 is: 887,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,782 : 399,471 = 399,471 : x
  2. Step 2: Convert to fraction form
    179,782/399,471 = 399,471/x
  3. Step 3: Cross multiply
    179,782x = 399,471 × 399,471
  4. Step 4: Simplify right side
    179,782x = 159,577,079,841
  5. Step 5: Solve for x
    x = 159,577,079,841/179,782
  6. Step 6: Final answer
    x = 887,614.33

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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.