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Finding the Third Proportional to 262.78 and 537.56

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Solution

The third proportional to 262.78 and 537.56 is: 1,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.78 : 537.56 = 537.56 : x
  2. Step 2: Convert to fraction form
    262.78/537.56 = 537.56/x
  3. Step 3: Cross multiply
    262.78x = 537.56 × 537.56
  4. Step 4: Simplify right side
    262.78x = 288,973.44
  5. Step 5: Solve for x
    x = 288,973.44/262.78
  6. Step 6: Final answer
    x = 1,099.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.