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Finding the Third Proportional to 782,819 and 1,212,107.50

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Solution

The third proportional to 782,819 and 1,212,107.50 is: 1,876,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,819 : 1,212,107.50 = 1,212,107.50 : x
  2. Step 2: Convert to fraction form
    782,819/1,212,107.50 = 1,212,107.50/x
  3. Step 3: Cross multiply
    782,819x = 1,212,107.50 × 1,212,107.50
  4. Step 4: Simplify right side
    782,819x = 1,469,204,591,556.25
  5. Step 5: Solve for x
    x = 1,469,204,591,556.25/782,819
  6. Step 6: Final answer
    x = 1,876,812.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.