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Finding the Third Proportional to 179,779 and 399,463

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Solution

The third proportional to 179,779 and 399,463 is: 887,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,779 : 399,463 = 399,463 : x
  2. Step 2: Convert to fraction form
    179,779/399,463 = 399,463/x
  3. Step 3: Cross multiply
    179,779x = 399,463 × 399,463
  4. Step 4: Simplify right side
    179,779x = 159,570,688,369
  5. Step 5: Solve for x
    x = 159,570,688,369/179,779
  6. Step 6: Final answer
    x = 887,593.59

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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.