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Finding the Third Proportional to 198,076 and 269,128

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Solution

The third proportional to 198,076 and 269,128 is: 365,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,076 : 269,128 = 269,128 : x
  2. Step 2: Convert to fraction form
    198,076/269,128 = 269,128/x
  3. Step 3: Cross multiply
    198,076x = 269,128 × 269,128
  4. Step 4: Simplify right side
    198,076x = 72,429,880,384
  5. Step 5: Solve for x
    x = 72,429,880,384/198,076
  6. Step 6: Final answer
    x = 365,667.12

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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.