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Finding the Third Proportional to 128,857 and 196,617

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Solution

The third proportional to 128,857 and 196,617 is: 300,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,857 : 196,617 = 196,617 : x
  2. Step 2: Convert to fraction form
    128,857/196,617 = 196,617/x
  3. Step 3: Cross multiply
    128,857x = 196,617 × 196,617
  4. Step 4: Simplify right side
    128,857x = 38,658,244,689
  5. Step 5: Solve for x
    x = 38,658,244,689/128,857
  6. Step 6: Final answer
    x = 300,008.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.