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Finding the Third Proportional to 578.91 and 1,273.22

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Solution

The third proportional to 578.91 and 1,273.22 is: 2,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.91 : 1,273.22 = 1,273.22 : x
  2. Step 2: Convert to fraction form
    578.91/1,273.22 = 1,273.22/x
  3. Step 3: Cross multiply
    578.91x = 1,273.22 × 1,273.22
  4. Step 4: Simplify right side
    578.91x = 1,621,085.99
  5. Step 5: Solve for x
    x = 1,621,085.99/578.91
  6. Step 6: Final answer
    x = 2,800.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.