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Finding the Third Proportional to 538.75 and 819.06

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Solution

The third proportional to 538.75 and 819.06 is: 1,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.75 : 819.06 = 819.06 : x
  2. Step 2: Convert to fraction form
    538.75/819.06 = 819.06/x
  3. Step 3: Cross multiply
    538.75x = 819.06 × 819.06
  4. Step 4: Simplify right side
    538.75x = 670,863.38
  5. Step 5: Solve for x
    x = 670,863.38/538.75
  6. Step 6: Final answer
    x = 1,245.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.