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Finding the Third Proportional to 378,163.50 and 813,667.50

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Solution

The third proportional to 378,163.50 and 813,667.50 is: 1,750,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,163.50 : 813,667.50 = 813,667.50 : x
  2. Step 2: Convert to fraction form
    378,163.50/813,667.50 = 813,667.50/x
  3. Step 3: Cross multiply
    378,163.50x = 813,667.50 × 813,667.50
  4. Step 4: Simplify right side
    378,163.50x = 662,054,800,556.25
  5. Step 5: Solve for x
    x = 662,054,800,556.25/378,163.50
  6. Step 6: Final answer
    x = 1,750,710.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.