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Finding the Third Proportional to 389.24 and 850.56

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Solution

The third proportional to 389.24 and 850.56 is: 1,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.24 : 850.56 = 850.56 : x
  2. Step 2: Convert to fraction form
    389.24/850.56 = 850.56/x
  3. Step 3: Cross multiply
    389.24x = 850.56 × 850.56
  4. Step 4: Simplify right side
    389.24x = 723,451.17
  5. Step 5: Solve for x
    x = 723,451.17/389.24
  6. Step 6: Final answer
    x = 1,858.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.