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Finding the Third Proportional to 986.63 and 1,249.31

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Solution

The third proportional to 986.63 and 1,249.31 is: 1,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.63 : 1,249.31 = 1,249.31 : x
  2. Step 2: Convert to fraction form
    986.63/1,249.31 = 1,249.31/x
  3. Step 3: Cross multiply
    986.63x = 1,249.31 × 1,249.31
  4. Step 4: Simplify right side
    986.63x = 1,560,781.72
  5. Step 5: Solve for x
    x = 1,560,781.72/986.63
  6. Step 6: Final answer
    x = 1,581.94

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.