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Finding the Third Proportional to 280,885 and 397,444

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Solution

The third proportional to 280,885 and 397,444 is: 562,371.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,885 : 397,444 = 397,444 : x
  2. Step 2: Convert to fraction form
    280,885/397,444 = 397,444/x
  3. Step 3: Cross multiply
    280,885x = 397,444 × 397,444
  4. Step 4: Simplify right side
    280,885x = 157,961,733,136
  5. Step 5: Solve for x
    x = 157,961,733,136/280,885
  6. Step 6: Final answer
    x = 562,371.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.