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Finding the Third Proportional to 548.75 and 843.50

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Solution

The third proportional to 548.75 and 843.50 is: 1,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.75 : 843.50 = 843.50 : x
  2. Step 2: Convert to fraction form
    548.75/843.50 = 843.50/x
  3. Step 3: Cross multiply
    548.75x = 843.50 × 843.50
  4. Step 4: Simplify right side
    548.75x = 711,492.25
  5. Step 5: Solve for x
    x = 711,492.25/548.75
  6. Step 6: Final answer
    x = 1,296.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.