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Finding the Third Proportional to 198,572 and 436,456

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Solution

The third proportional to 198,572 and 436,456 is: 959,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,572 : 436,456 = 436,456 : x
  2. Step 2: Convert to fraction form
    198,572/436,456 = 436,456/x
  3. Step 3: Cross multiply
    198,572x = 436,456 × 436,456
  4. Step 4: Simplify right side
    198,572x = 190,493,839,936
  5. Step 5: Solve for x
    x = 190,493,839,936/198,572
  6. Step 6: Final answer
    x = 959,318.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.