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Finding the Third Proportional to 277.88 and 587.39

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Solution

The third proportional to 277.88 and 587.39 is: 1,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.88 : 587.39 = 587.39 : x
  2. Step 2: Convert to fraction form
    277.88/587.39 = 587.39/x
  3. Step 3: Cross multiply
    277.88x = 587.39 × 587.39
  4. Step 4: Simplify right side
    277.88x = 345,027.75
  5. Step 5: Solve for x
    x = 345,027.75/277.88
  6. Step 6: Final answer
    x = 1,241.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.