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Finding the Third Proportional to 179,775 and 399,455

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Solution

The third proportional to 179,775 and 399,455 is: 887,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,775 : 399,455 = 399,455 : x
  2. Step 2: Convert to fraction form
    179,775/399,455 = 399,455/x
  3. Step 3: Cross multiply
    179,775x = 399,455 × 399,455
  4. Step 4: Simplify right side
    179,775x = 159,564,297,025
  5. Step 5: Solve for x
    x = 159,564,297,025/179,775
  6. Step 6: Final answer
    x = 887,577.79

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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.