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Finding the Third Proportional to 121,099 and 181,689

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Solution

The third proportional to 121,099 and 181,689 is: 272,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,099 : 181,689 = 181,689 : x
  2. Step 2: Convert to fraction form
    121,099/181,689 = 181,689/x
  3. Step 3: Cross multiply
    121,099x = 181,689 × 181,689
  4. Step 4: Simplify right side
    121,099x = 33,010,892,721
  5. Step 5: Solve for x
    x = 33,010,892,721/121,099
  6. Step 6: Final answer
    x = 272,594.26

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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.