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Finding the Third Proportional to 128,494 and 197,751

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Solution

The third proportional to 128,494 and 197,751 is: 304,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,494 : 197,751 = 197,751 : x
  2. Step 2: Convert to fraction form
    128,494/197,751 = 197,751/x
  3. Step 3: Cross multiply
    128,494x = 197,751 × 197,751
  4. Step 4: Simplify right side
    128,494x = 39,105,458,001
  5. Step 5: Solve for x
    x = 39,105,458,001/128,494
  6. Step 6: Final answer
    x = 304,336.84

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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.