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Finding the Third Proportional to 128,414 and 197,481

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Solution

The third proportional to 128,414 and 197,481 is: 303,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,414 : 197,481 = 197,481 : x
  2. Step 2: Convert to fraction form
    128,414/197,481 = 197,481/x
  3. Step 3: Cross multiply
    128,414x = 197,481 × 197,481
  4. Step 4: Simplify right side
    128,414x = 38,998,745,361
  5. Step 5: Solve for x
    x = 38,998,745,361/128,414
  6. Step 6: Final answer
    x = 303,695.43

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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.