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Finding the Third Proportional to 553.69 and 851.81

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Solution

The third proportional to 553.69 and 851.81 is: 1,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.69 : 851.81 = 851.81 : x
  2. Step 2: Convert to fraction form
    553.69/851.81 = 851.81/x
  3. Step 3: Cross multiply
    553.69x = 851.81 × 851.81
  4. Step 4: Simplify right side
    553.69x = 725,584.54
  5. Step 5: Solve for x
    x = 725,584.54/553.69
  6. Step 6: Final answer
    x = 1,310.46

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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.