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Finding the Third Proportional to 190,848 and 280,569

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Solution

The third proportional to 190,848 and 280,569 is: 412,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,848 : 280,569 = 280,569 : x
  2. Step 2: Convert to fraction form
    190,848/280,569 = 280,569/x
  3. Step 3: Cross multiply
    190,848x = 280,569 × 280,569
  4. Step 4: Simplify right side
    190,848x = 78,718,963,761
  5. Step 5: Solve for x
    x = 78,718,963,761/190,848
  6. Step 6: Final answer
    x = 412,469.42

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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.