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Finding the Third Proportional to 122,600 and 189,914

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Solution

The third proportional to 122,600 and 189,914 is: 294,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,600 : 189,914 = 189,914 : x
  2. Step 2: Convert to fraction form
    122,600/189,914 = 189,914/x
  3. Step 3: Cross multiply
    122,600x = 189,914 × 189,914
  4. Step 4: Simplify right side
    122,600x = 36,067,327,396
  5. Step 5: Solve for x
    x = 36,067,327,396/122,600
  6. Step 6: Final answer
    x = 294,187.01

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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.