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Finding the Third Proportional to 128,144 and 197,231

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Solution

The third proportional to 128,144 and 197,231 is: 303,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,144 : 197,231 = 197,231 : x
  2. Step 2: Convert to fraction form
    128,144/197,231 = 197,231/x
  3. Step 3: Cross multiply
    128,144x = 197,231 × 197,231
  4. Step 4: Simplify right side
    128,144x = 38,900,067,361
  5. Step 5: Solve for x
    x = 38,900,067,361/128,144
  6. Step 6: Final answer
    x = 303,565.27

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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.