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Finding the Third Proportional to 109,098 and 166,819

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Solution

The third proportional to 109,098 and 166,819 is: 255,078.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,098 : 166,819 = 166,819 : x
  2. Step 2: Convert to fraction form
    109,098/166,819 = 166,819/x
  3. Step 3: Cross multiply
    109,098x = 166,819 × 166,819
  4. Step 4: Simplify right side
    109,098x = 27,828,578,761
  5. Step 5: Solve for x
    x = 27,828,578,761/109,098
  6. Step 6: Final answer
    x = 255,078.73

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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.