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Finding the Third Proportional to 519,530 and 780,819

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Solution

The third proportional to 519,530 and 780,819 is: 1,173,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,530 : 780,819 = 780,819 : x
  2. Step 2: Convert to fraction form
    519,530/780,819 = 780,819/x
  3. Step 3: Cross multiply
    519,530x = 780,819 × 780,819
  4. Step 4: Simplify right side
    519,530x = 609,678,310,761
  5. Step 5: Solve for x
    x = 609,678,310,761/519,530
  6. Step 6: Final answer
    x = 1,173,518.97

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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.