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Finding the Third Proportional to 167,078 and 255,909

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Solution

The third proportional to 167,078 and 255,909 is: 391,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,078 : 255,909 = 255,909 : x
  2. Step 2: Convert to fraction form
    167,078/255,909 = 255,909/x
  3. Step 3: Cross multiply
    167,078x = 255,909 × 255,909
  4. Step 4: Simplify right side
    167,078x = 65,489,416,281
  5. Step 5: Solve for x
    x = 65,489,416,281/167,078
  6. Step 6: Final answer
    x = 391,969.12

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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.