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Finding the Third Proportional to 128,867 and 197,129

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Solution

The third proportional to 128,867 and 197,129 is: 301,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,867 : 197,129 = 197,129 : x
  2. Step 2: Convert to fraction form
    128,867/197,129 = 197,129/x
  3. Step 3: Cross multiply
    128,867x = 197,129 × 197,129
  4. Step 4: Simplify right side
    128,867x = 38,859,842,641
  5. Step 5: Solve for x
    x = 38,859,842,641/128,867
  6. Step 6: Final answer
    x = 301,549.99

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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.