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Finding the Third Proportional to 644,011.50 and 874,620.38

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Solution

The third proportional to 644,011.50 and 874,620.38 is: 1,187,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,011.50 : 874,620.38 = 874,620.38 : x
  2. Step 2: Convert to fraction form
    644,011.50/874,620.38 = 874,620.38/x
  3. Step 3: Cross multiply
    644,011.50x = 874,620.38 × 874,620.38
  4. Step 4: Simplify right side
    644,011.50x = 764,960,800,365.14
  5. Step 5: Solve for x
    x = 764,960,800,365.14/644,011.50
  6. Step 6: Final answer
    x = 1,187,806.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.