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Finding the Third Proportional to 669.20 and 774.56

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Solution

The third proportional to 669.20 and 774.56 is: 896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.20 : 774.56 = 774.56 : x
  2. Step 2: Convert to fraction form
    669.20/774.56 = 774.56/x
  3. Step 3: Cross multiply
    669.20x = 774.56 × 774.56
  4. Step 4: Simplify right side
    669.20x = 599,947.07
  5. Step 5: Solve for x
    x = 599,947.07/669.20
  6. Step 6: Final answer
    x = 896.51

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.