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Finding the Third Proportional to 105,716 and 161,921

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Solution

The third proportional to 105,716 and 161,921 is: 248,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,716 : 161,921 = 161,921 : x
  2. Step 2: Convert to fraction form
    105,716/161,921 = 161,921/x
  3. Step 3: Cross multiply
    105,716x = 161,921 × 161,921
  4. Step 4: Simplify right side
    105,716x = 26,218,410,241
  5. Step 5: Solve for x
    x = 26,218,410,241/105,716
  6. Step 6: Final answer
    x = 248,007.97

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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.