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Finding the Third Proportional to 167,760 and 257,480

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Solution

The third proportional to 167,760 and 257,480 is: 395,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,760 : 257,480 = 257,480 : x
  2. Step 2: Convert to fraction form
    167,760/257,480 = 257,480/x
  3. Step 3: Cross multiply
    167,760x = 257,480 × 257,480
  4. Step 4: Simplify right side
    167,760x = 66,295,950,400
  5. Step 5: Solve for x
    x = 66,295,950,400/167,760
  6. Step 6: Final answer
    x = 395,183.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.