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Finding the Third Proportional to 280,616 and 421,244

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Solution

The third proportional to 280,616 and 421,244 is: 632,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,616 : 421,244 = 421,244 : x
  2. Step 2: Convert to fraction form
    280,616/421,244 = 421,244/x
  3. Step 3: Cross multiply
    280,616x = 421,244 × 421,244
  4. Step 4: Simplify right side
    280,616x = 177,446,507,536
  5. Step 5: Solve for x
    x = 177,446,507,536/280,616
  6. Step 6: Final answer
    x = 632,346.36

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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.