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Finding the Third Proportional to 851.69 and 1,249.49

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Solution

The third proportional to 851.69 and 1,249.49 is: 1,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.69 : 1,249.49 = 1,249.49 : x
  2. Step 2: Convert to fraction form
    851.69/1,249.49 = 1,249.49/x
  3. Step 3: Cross multiply
    851.69x = 1,249.49 × 1,249.49
  4. Step 4: Simplify right side
    851.69x = 1,561,220.96
  5. Step 5: Solve for x
    x = 1,561,220.96/851.69
  6. Step 6: Final answer
    x = 1,833.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.