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Finding the Third Proportional to 198,060 and 427,682

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Solution

The third proportional to 198,060 and 427,682 is: 923,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,060 : 427,682 = 427,682 : x
  2. Step 2: Convert to fraction form
    198,060/427,682 = 427,682/x
  3. Step 3: Cross multiply
    198,060x = 427,682 × 427,682
  4. Step 4: Simplify right side
    198,060x = 182,911,893,124
  5. Step 5: Solve for x
    x = 182,911,893,124/198,060
  6. Step 6: Final answer
    x = 923,517.59

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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.