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Finding the Third Proportional to 179,949 and 393,797

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Solution

The third proportional to 179,949 and 393,797 is: 861,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,949 : 393,797 = 393,797 : x
  2. Step 2: Convert to fraction form
    179,949/393,797 = 393,797/x
  3. Step 3: Cross multiply
    179,949x = 393,797 × 393,797
  4. Step 4: Simplify right side
    179,949x = 155,076,077,209
  5. Step 5: Solve for x
    x = 155,076,077,209/179,949
  6. Step 6: Final answer
    x = 861,777.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.