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Finding the Third Proportional to 554.53 and 853.36

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Solution

The third proportional to 554.53 and 853.36 is: 1,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.53 : 853.36 = 853.36 : x
  2. Step 2: Convert to fraction form
    554.53/853.36 = 853.36/x
  3. Step 3: Cross multiply
    554.53x = 853.36 × 853.36
  4. Step 4: Simplify right side
    554.53x = 728,222.22
  5. Step 5: Solve for x
    x = 728,222.22/554.53
  6. Step 6: Final answer
    x = 1,313.22

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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.