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Finding the Third Proportional to 554.75 and 853.25

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Solution

The third proportional to 554.75 and 853.25 is: 1,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.75 : 853.25 = 853.25 : x
  2. Step 2: Convert to fraction form
    554.75/853.25 = 853.25/x
  3. Step 3: Cross multiply
    554.75x = 853.25 × 853.25
  4. Step 4: Simplify right side
    554.75x = 728,035.56
  5. Step 5: Solve for x
    x = 728,035.56/554.75
  6. Step 6: Final answer
    x = 1,312.37

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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.