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Finding the Third Proportional to 198,446 and 427,996

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Solution

The third proportional to 198,446 and 427,996 is: 923,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,446 : 427,996 = 427,996 : x
  2. Step 2: Convert to fraction form
    198,446/427,996 = 427,996/x
  3. Step 3: Cross multiply
    198,446x = 427,996 × 427,996
  4. Step 4: Simplify right side
    198,446x = 183,180,576,016
  5. Step 5: Solve for x
    x = 183,180,576,016/198,446
  6. Step 6: Final answer
    x = 923,075.17

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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.