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Finding the Third Proportional to 620.25 and 844.69

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Solution

The third proportional to 620.25 and 844.69 is: 1,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.25 : 844.69 = 844.69 : x
  2. Step 2: Convert to fraction form
    620.25/844.69 = 844.69/x
  3. Step 3: Cross multiply
    620.25x = 844.69 × 844.69
  4. Step 4: Simplify right side
    620.25x = 713,496.97
  5. Step 5: Solve for x
    x = 713,496.97/620.25
  6. Step 6: Final answer
    x = 1,150.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.