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Finding the Third Proportional to 251.07 and 543.43

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Solution

The third proportional to 251.07 and 543.43 is: 1,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.07 : 543.43 = 543.43 : x
  2. Step 2: Convert to fraction form
    251.07/543.43 = 543.43/x
  3. Step 3: Cross multiply
    251.07x = 543.43 × 543.43
  4. Step 4: Simplify right side
    251.07x = 295,313.70
  5. Step 5: Solve for x
    x = 295,313.70/251.07
  6. Step 6: Final answer
    x = 1,176.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.