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Finding the Third Proportional to 122,340 and 189,086

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Solution

The third proportional to 122,340 and 189,086 is: 292,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,340 : 189,086 = 189,086 : x
  2. Step 2: Convert to fraction form
    122,340/189,086 = 189,086/x
  3. Step 3: Cross multiply
    122,340x = 189,086 × 189,086
  4. Step 4: Simplify right side
    122,340x = 35,753,515,396
  5. Step 5: Solve for x
    x = 35,753,515,396/122,340
  6. Step 6: Final answer
    x = 292,247.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.