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Finding the Third Proportional to 259.59 and 548.44

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Solution

The third proportional to 259.59 and 548.44 is: 1,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.59 : 548.44 = 548.44 : x
  2. Step 2: Convert to fraction form
    259.59/548.44 = 548.44/x
  3. Step 3: Cross multiply
    259.59x = 548.44 × 548.44
  4. Step 4: Simplify right side
    259.59x = 300,783.69
  5. Step 5: Solve for x
    x = 300,783.69/259.59
  6. Step 6: Final answer
    x = 1,158.67

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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.