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Finding the Third Proportional to 171,986 and 356,124

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Solution

The third proportional to 171,986 and 356,124 is: 737,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,986 : 356,124 = 356,124 : x
  2. Step 2: Convert to fraction form
    171,986/356,124 = 356,124/x
  3. Step 3: Cross multiply
    171,986x = 356,124 × 356,124
  4. Step 4: Simplify right side
    171,986x = 126,824,303,376
  5. Step 5: Solve for x
    x = 126,824,303,376/171,986
  6. Step 6: Final answer
    x = 737,410.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.