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Finding the Third Proportional to 171,078 and 399,749

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Solution

The third proportional to 171,078 and 399,749 is: 934,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,078 : 399,749 = 399,749 : x
  2. Step 2: Convert to fraction form
    171,078/399,749 = 399,749/x
  3. Step 3: Cross multiply
    171,078x = 399,749 × 399,749
  4. Step 4: Simplify right side
    171,078x = 159,799,263,001
  5. Step 5: Solve for x
    x = 159,799,263,001/171,078
  6. Step 6: Final answer
    x = 934,072.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.