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Finding the Third Proportional to 198,401 and 283,602

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Solution

The third proportional to 198,401 and 283,602 is: 405,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,401 : 283,602 = 283,602 : x
  2. Step 2: Convert to fraction form
    198,401/283,602 = 283,602/x
  3. Step 3: Cross multiply
    198,401x = 283,602 × 283,602
  4. Step 4: Simplify right side
    198,401x = 80,430,094,404
  5. Step 5: Solve for x
    x = 80,430,094,404/198,401
  6. Step 6: Final answer
    x = 405,391.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.