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Finding the Third Proportional to 122,357 and 189,099

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Solution

The third proportional to 122,357 and 189,099 is: 292,246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,357 : 189,099 = 189,099 : x
  2. Step 2: Convert to fraction form
    122,357/189,099 = 189,099/x
  3. Step 3: Cross multiply
    122,357x = 189,099 × 189,099
  4. Step 4: Simplify right side
    122,357x = 35,758,431,801
  5. Step 5: Solve for x
    x = 35,758,431,801/122,357
  6. Step 6: Final answer
    x = 292,246.72

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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.