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Finding the Third Proportional to 121,800 and 182,086

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Solution

The third proportional to 121,800 and 182,086 is: 272,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,800 : 182,086 = 182,086 : x
  2. Step 2: Convert to fraction form
    121,800/182,086 = 182,086/x
  3. Step 3: Cross multiply
    121,800x = 182,086 × 182,086
  4. Step 4: Simplify right side
    121,800x = 33,155,311,396
  5. Step 5: Solve for x
    x = 33,155,311,396/121,800
  6. Step 6: Final answer
    x = 272,211.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.