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Finding the Third Proportional to 579.47 and 1,249.97

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Solution

The third proportional to 579.47 and 1,249.97 is: 2,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.47 : 1,249.97 = 1,249.97 : x
  2. Step 2: Convert to fraction form
    579.47/1,249.97 = 1,249.97/x
  3. Step 3: Cross multiply
    579.47x = 1,249.97 × 1,249.97
  4. Step 4: Simplify right side
    579.47x = 1,562,421.88
  5. Step 5: Solve for x
    x = 1,562,421.88/579.47
  6. Step 6: Final answer
    x = 2,696.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.