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Finding the Third Proportional to 198,836 and 420,703

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Solution

The third proportional to 198,836 and 420,703 is: 890,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,836 : 420,703 = 420,703 : x
  2. Step 2: Convert to fraction form
    198,836/420,703 = 420,703/x
  3. Step 3: Cross multiply
    198,836x = 420,703 × 420,703
  4. Step 4: Simplify right side
    198,836x = 176,991,014,209
  5. Step 5: Solve for x
    x = 176,991,014,209/198,836
  6. Step 6: Final answer
    x = 890,135.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.