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Finding the Third Proportional to 190,524 and 280,278

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Solution

The third proportional to 190,524 and 280,278 is: 412,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,524 : 280,278 = 280,278 : x
  2. Step 2: Convert to fraction form
    190,524/280,278 = 280,278/x
  3. Step 3: Cross multiply
    190,524x = 280,278 × 280,278
  4. Step 4: Simplify right side
    190,524x = 78,555,757,284
  5. Step 5: Solve for x
    x = 78,555,757,284/190,524
  6. Step 6: Final answer
    x = 412,314.23

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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.