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Finding the Third Proportional to 198,354 and 413,172

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Solution

The third proportional to 198,354 and 413,172 is: 860,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,354 : 413,172 = 413,172 : x
  2. Step 2: Convert to fraction form
    198,354/413,172 = 413,172/x
  3. Step 3: Cross multiply
    198,354x = 413,172 × 413,172
  4. Step 4: Simplify right side
    198,354x = 170,711,101,584
  5. Step 5: Solve for x
    x = 170,711,101,584/198,354
  6. Step 6: Final answer
    x = 860,638.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.