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Finding the Third Proportional to 198,042 and 427,653

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Solution

The third proportional to 198,042 and 427,653 is: 923,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,042 : 427,653 = 427,653 : x
  2. Step 2: Convert to fraction form
    198,042/427,653 = 427,653/x
  3. Step 3: Cross multiply
    198,042x = 427,653 × 427,653
  4. Step 4: Simplify right side
    198,042x = 182,887,088,409
  5. Step 5: Solve for x
    x = 182,887,088,409/198,042
  6. Step 6: Final answer
    x = 923,476.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.