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Finding the Third Proportional to 251.06 and 578.91

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Solution

The third proportional to 251.06 and 578.91 is: 1,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.06 : 578.91 = 578.91 : x
  2. Step 2: Convert to fraction form
    251.06/578.91 = 578.91/x
  3. Step 3: Cross multiply
    251.06x = 578.91 × 578.91
  4. Step 4: Simplify right side
    251.06x = 335,132.45
  5. Step 5: Solve for x
    x = 335,132.45/251.06
  6. Step 6: Final answer
    x = 1,334.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.