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Finding the Third Proportional to 128,945 and 197,122

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Solution

The third proportional to 128,945 and 197,122 is: 301,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,945 : 197,122 = 197,122 : x
  2. Step 2: Convert to fraction form
    128,945/197,122 = 197,122/x
  3. Step 3: Cross multiply
    128,945x = 197,122 × 197,122
  4. Step 4: Simplify right side
    128,945x = 38,857,082,884
  5. Step 5: Solve for x
    x = 38,857,082,884/128,945
  6. Step 6: Final answer
    x = 301,346.18

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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.