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Finding the Third Proportional to 198,065 and 427,693

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Solution

The third proportional to 198,065 and 427,693 is: 923,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,065 : 427,693 = 427,693 : x
  2. Step 2: Convert to fraction form
    198,065/427,693 = 427,693/x
  3. Step 3: Cross multiply
    198,065x = 427,693 × 427,693
  4. Step 4: Simplify right side
    198,065x = 182,921,302,249
  5. Step 5: Solve for x
    x = 182,921,302,249/198,065
  6. Step 6: Final answer
    x = 923,541.78

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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.