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Finding the Third Proportional to 100,109 and 177,958

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Solution

The third proportional to 100,109 and 177,958 is: 316,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,109 : 177,958 = 177,958 : x
  2. Step 2: Convert to fraction form
    100,109/177,958 = 177,958/x
  3. Step 3: Cross multiply
    100,109x = 177,958 × 177,958
  4. Step 4: Simplify right side
    100,109x = 31,669,049,764
  5. Step 5: Solve for x
    x = 31,669,049,764/100,109
  6. Step 6: Final answer
    x = 316,345.68

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.