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Finding the Third Proportional to 179,781 and 399,467

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Solution

The third proportional to 179,781 and 399,467 is: 887,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,781 : 399,467 = 399,467 : x
  2. Step 2: Convert to fraction form
    179,781/399,467 = 399,467/x
  3. Step 3: Cross multiply
    179,781x = 399,467 × 399,467
  4. Step 4: Simplify right side
    179,781x = 159,573,884,089
  5. Step 5: Solve for x
    x = 159,573,884,089/179,781
  6. Step 6: Final answer
    x = 887,601.49

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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.