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Finding the Third Proportional to 280,883 and 397,441

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Solution

The third proportional to 280,883 and 397,441 is: 562,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,883 : 397,441 = 397,441 : x
  2. Step 2: Convert to fraction form
    280,883/397,441 = 397,441/x
  3. Step 3: Cross multiply
    280,883x = 397,441 × 397,441
  4. Step 4: Simplify right side
    280,883x = 157,959,348,481
  5. Step 5: Solve for x
    x = 157,959,348,481/280,883
  6. Step 6: Final answer
    x = 562,367.07

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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.