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Finding the Third Proportional to 385.69 and 843.94

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Solution

The third proportional to 385.69 and 843.94 is: 1,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.69 : 843.94 = 843.94 : x
  2. Step 2: Convert to fraction form
    385.69/843.94 = 843.94/x
  3. Step 3: Cross multiply
    385.69x = 843.94 × 843.94
  4. Step 4: Simplify right side
    385.69x = 712,230.50
  5. Step 5: Solve for x
    x = 712,230.50/385.69
  6. Step 6: Final answer
    x = 1,846.65

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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.