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Finding the Third Proportional to 198,018 and 269,046

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Solution

The third proportional to 198,018 and 269,046 is: 365,551.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,018 : 269,046 = 269,046 : x
  2. Step 2: Convert to fraction form
    198,018/269,046 = 269,046/x
  3. Step 3: Cross multiply
    198,018x = 269,046 × 269,046
  4. Step 4: Simplify right side
    198,018x = 72,385,750,116
  5. Step 5: Solve for x
    x = 72,385,750,116/198,018
  6. Step 6: Final answer
    x = 365,551.36

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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.