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Finding the Third Proportional to 280,882.75 and 397,440.25

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Solution

The third proportional to 280,882.75 and 397,440.25 is: 562,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,882.75 : 397,440.25 = 397,440.25 : x
  2. Step 2: Convert to fraction form
    280,882.75/397,440.25 = 397,440.25/x
  3. Step 3: Cross multiply
    280,882.75x = 397,440.25 × 397,440.25
  4. Step 4: Simplify right side
    280,882.75x = 157,958,752,320.06
  5. Step 5: Solve for x
    x = 157,958,752,320.06/280,882.75
  6. Step 6: Final answer
    x = 562,365.44

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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.