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Finding the Third Proportional to 198,078 and 269,130

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Solution

The third proportional to 198,078 and 269,130 is: 365,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,078 : 269,130 = 269,130 : x
  2. Step 2: Convert to fraction form
    198,078/269,130 = 269,130/x
  3. Step 3: Cross multiply
    198,078x = 269,130 × 269,130
  4. Step 4: Simplify right side
    198,078x = 72,430,956,900
  5. Step 5: Solve for x
    x = 72,430,956,900/198,078
  6. Step 6: Final answer
    x = 365,668.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.