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Finding the Third Proportional to 251.54 and 548.65

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Solution

The third proportional to 251.54 and 548.65 is: 1,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.54 : 548.65 = 548.65 : x
  2. Step 2: Convert to fraction form
    251.54/548.65 = 548.65/x
  3. Step 3: Cross multiply
    251.54x = 548.65 × 548.65
  4. Step 4: Simplify right side
    251.54x = 301,015.11
  5. Step 5: Solve for x
    x = 301,015.11/251.54
  6. Step 6: Final answer
    x = 1,196.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.