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Finding the Third Proportional to 128,691 and 194,049

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Solution

The third proportional to 128,691 and 194,049 is: 292,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,691 : 194,049 = 194,049 : x
  2. Step 2: Convert to fraction form
    128,691/194,049 = 194,049/x
  3. Step 3: Cross multiply
    128,691x = 194,049 × 194,049
  4. Step 4: Simplify right side
    128,691x = 37,655,014,401
  5. Step 5: Solve for x
    x = 37,655,014,401/128,691
  6. Step 6: Final answer
    x = 292,600.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.