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Finding the Third Proportional to 493.25 and 774.25

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Solution

The third proportional to 493.25 and 774.25 is: 1,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.25 : 774.25 = 774.25 : x
  2. Step 2: Convert to fraction form
    493.25/774.25 = 774.25/x
  3. Step 3: Cross multiply
    493.25x = 774.25 × 774.25
  4. Step 4: Simplify right side
    493.25x = 599,463.06
  5. Step 5: Solve for x
    x = 599,463.06/493.25
  6. Step 6: Final answer
    x = 1,215.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.