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Finding the Third Proportional to 190,728 and 280,252

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Solution

The third proportional to 190,728 and 280,252 is: 411,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,728 : 280,252 = 280,252 : x
  2. Step 2: Convert to fraction form
    190,728/280,252 = 280,252/x
  3. Step 3: Cross multiply
    190,728x = 280,252 × 280,252
  4. Step 4: Simplify right side
    190,728x = 78,541,183,504
  5. Step 5: Solve for x
    x = 78,541,183,504/190,728
  6. Step 6: Final answer
    x = 411,796.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.