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Finding the Third Proportional to 122,451 and 189,137

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Solution

The third proportional to 122,451 and 189,137 is: 292,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,451 : 189,137 = 189,137 : x
  2. Step 2: Convert to fraction form
    122,451/189,137 = 189,137/x
  3. Step 3: Cross multiply
    122,451x = 189,137 × 189,137
  4. Step 4: Simplify right side
    122,451x = 35,772,804,769
  5. Step 5: Solve for x
    x = 35,772,804,769/122,451
  6. Step 6: Final answer
    x = 292,139.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.