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Finding the Third Proportional to 109,170 and 166,670

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Solution

The third proportional to 109,170 and 166,670 is: 254,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,170 : 166,670 = 166,670 : x
  2. Step 2: Convert to fraction form
    109,170/166,670 = 166,670/x
  3. Step 3: Cross multiply
    109,170x = 166,670 × 166,670
  4. Step 4: Simplify right side
    109,170x = 27,778,888,900
  5. Step 5: Solve for x
    x = 27,778,888,900/109,170
  6. Step 6: Final answer
    x = 254,455.33

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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.