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Finding the Third Proportional to 190,828 and 280,408

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Solution

The third proportional to 190,828 and 280,408 is: 412,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,828 : 280,408 = 280,408 : x
  2. Step 2: Convert to fraction form
    190,828/280,408 = 280,408/x
  3. Step 3: Cross multiply
    190,828x = 280,408 × 280,408
  4. Step 4: Simplify right side
    190,828x = 78,628,646,464
  5. Step 5: Solve for x
    x = 78,628,646,464/190,828
  6. Step 6: Final answer
    x = 412,039.36

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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.