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Finding the Third Proportional to 280,624 and 421,256

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Solution

The third proportional to 280,624 and 421,256 is: 632,364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,624 : 421,256 = 421,256 : x
  2. Step 2: Convert to fraction form
    280,624/421,256 = 421,256/x
  3. Step 3: Cross multiply
    280,624x = 421,256 × 421,256
  4. Step 4: Simplify right side
    280,624x = 177,456,617,536
  5. Step 5: Solve for x
    x = 177,456,617,536/280,624
  6. Step 6: Final answer
    x = 632,364.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.