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Finding the Third Proportional to 121,830 and 182,241

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Solution

The third proportional to 121,830 and 182,241 is: 272,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,830 : 182,241 = 182,241 : x
  2. Step 2: Convert to fraction form
    121,830/182,241 = 182,241/x
  3. Step 3: Cross multiply
    121,830x = 182,241 × 182,241
  4. Step 4: Simplify right side
    121,830x = 33,211,782,081
  5. Step 5: Solve for x
    x = 33,211,782,081/121,830
  6. Step 6: Final answer
    x = 272,607.59

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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.