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Finding the Third Proportional to 128,876 and 189,075

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Solution

The third proportional to 128,876 and 189,075 is: 277,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,876 : 189,075 = 189,075 : x
  2. Step 2: Convert to fraction form
    128,876/189,075 = 189,075/x
  3. Step 3: Cross multiply
    128,876x = 189,075 × 189,075
  4. Step 4: Simplify right side
    128,876x = 35,749,355,625
  5. Step 5: Solve for x
    x = 35,749,355,625/128,876
  6. Step 6: Final answer
    x = 277,393.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.