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Finding the Third Proportional to 128,644 and 197,958

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Solution

The third proportional to 128,644 and 197,958 is: 304,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,644 : 197,958 = 197,958 : x
  2. Step 2: Convert to fraction form
    128,644/197,958 = 197,958/x
  3. Step 3: Cross multiply
    128,644x = 197,958 × 197,958
  4. Step 4: Simplify right side
    128,644x = 39,187,369,764
  5. Step 5: Solve for x
    x = 39,187,369,764/128,644
  6. Step 6: Final answer
    x = 304,618.71

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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.