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Finding the Third Proportional to 383,212 and 580,119.50

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Solution

The third proportional to 383,212 and 580,119.50 is: 878,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,212 : 580,119.50 = 580,119.50 : x
  2. Step 2: Convert to fraction form
    383,212/580,119.50 = 580,119.50/x
  3. Step 3: Cross multiply
    383,212x = 580,119.50 × 580,119.50
  4. Step 4: Simplify right side
    383,212x = 336,538,634,280.25
  5. Step 5: Solve for x
    x = 336,538,634,280.25/383,212
  6. Step 6: Final answer
    x = 878,204.84

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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.