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Finding the Third Proportional to 121,638 and 181,965

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Solution

The third proportional to 121,638 and 181,965 is: 272,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,638 : 181,965 = 181,965 : x
  2. Step 2: Convert to fraction form
    121,638/181,965 = 181,965/x
  3. Step 3: Cross multiply
    121,638x = 181,965 × 181,965
  4. Step 4: Simplify right side
    121,638x = 33,111,261,225
  5. Step 5: Solve for x
    x = 33,111,261,225/121,638
  6. Step 6: Final answer
    x = 272,211.49

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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.