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Finding the Third Proportional to 280,620 and 421,250

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Solution

The third proportional to 280,620 and 421,250 is: 632,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,620 : 421,250 = 421,250 : x
  2. Step 2: Convert to fraction form
    280,620/421,250 = 421,250/x
  3. Step 3: Cross multiply
    280,620x = 421,250 × 421,250
  4. Step 4: Simplify right side
    280,620x = 177,451,562,500
  5. Step 5: Solve for x
    x = 177,451,562,500/280,620
  6. Step 6: Final answer
    x = 632,355.36

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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.