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Finding the Third Proportional to 480.75 and 774.19

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Solution

The third proportional to 480.75 and 774.19 is: 1,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.75 : 774.19 = 774.19 : x
  2. Step 2: Convert to fraction form
    480.75/774.19 = 774.19/x
  3. Step 3: Cross multiply
    480.75x = 774.19 × 774.19
  4. Step 4: Simplify right side
    480.75x = 599,366.29
  5. Step 5: Solve for x
    x = 599,366.29/480.75
  6. Step 6: Final answer
    x = 1,246.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.