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Finding the Third Proportional to 538.75 and 853.38

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Solution

The third proportional to 538.75 and 853.38 is: 1,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.75 : 853.38 = 853.38 : x
  2. Step 2: Convert to fraction form
    538.75/853.38 = 853.38/x
  3. Step 3: Cross multiply
    538.75x = 853.38 × 853.38
  4. Step 4: Simplify right side
    538.75x = 728,248.89
  5. Step 5: Solve for x
    x = 728,248.89/538.75
  6. Step 6: Final answer
    x = 1,351.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.