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Finding the Third Proportional to 128,974 and 197,167

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Solution

The third proportional to 128,974 and 197,167 is: 301,415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,974 : 197,167 = 197,167 : x
  2. Step 2: Convert to fraction form
    128,974/197,167 = 197,167/x
  3. Step 3: Cross multiply
    128,974x = 197,167 × 197,167
  4. Step 4: Simplify right side
    128,974x = 38,874,825,889
  5. Step 5: Solve for x
    x = 38,874,825,889/128,974
  6. Step 6: Final answer
    x = 301,415.99

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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.