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Finding the Third Proportional to 121,606 and 181,921

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Solution

The third proportional to 121,606 and 181,921 is: 272,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,606 : 181,921 = 181,921 : x
  2. Step 2: Convert to fraction form
    121,606/181,921 = 181,921/x
  3. Step 3: Cross multiply
    121,606x = 181,921 × 181,921
  4. Step 4: Simplify right side
    121,606x = 33,095,250,241
  5. Step 5: Solve for x
    x = 33,095,250,241/121,606
  6. Step 6: Final answer
    x = 272,151.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.