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Finding the Third Proportional to 383,212 and 580,120

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Solution

The third proportional to 383,212 and 580,120 is: 878,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,212 : 580,120 = 580,120 : x
  2. Step 2: Convert to fraction form
    383,212/580,120 = 580,120/x
  3. Step 3: Cross multiply
    383,212x = 580,120 × 580,120
  4. Step 4: Simplify right side
    383,212x = 336,539,214,400
  5. Step 5: Solve for x
    x = 336,539,214,400/383,212
  6. Step 6: Final answer
    x = 878,206.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.