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Finding the Third Proportional to 548.75 and 1,311.63

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Solution

The third proportional to 548.75 and 1,311.63 is: 3,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.75 : 1,311.63 = 1,311.63 : x
  2. Step 2: Convert to fraction form
    548.75/1,311.63 = 1,311.63/x
  3. Step 3: Cross multiply
    548.75x = 1,311.63 × 1,311.63
  4. Step 4: Simplify right side
    548.75x = 1,720,360.14
  5. Step 5: Solve for x
    x = 1,720,360.14/548.75
  6. Step 6: Final answer
    x = 3,135.05

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.