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Finding the Third Proportional to 190,607 and 280,366

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Solution

The third proportional to 190,607 and 280,366 is: 412,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,607 : 280,366 = 280,366 : x
  2. Step 2: Convert to fraction form
    190,607/280,366 = 280,366/x
  3. Step 3: Cross multiply
    190,607x = 280,366 × 280,366
  4. Step 4: Simplify right side
    190,607x = 78,605,093,956
  5. Step 5: Solve for x
    x = 78,605,093,956/190,607
  6. Step 6: Final answer
    x = 412,393.53

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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.