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Finding the Third Proportional to 775.69 and 1,690.80

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Solution

The third proportional to 775.69 and 1,690.80 is: 3,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.69 : 1,690.80 = 1,690.80 : x
  2. Step 2: Convert to fraction form
    775.69/1,690.80 = 1,690.80/x
  3. Step 3: Cross multiply
    775.69x = 1,690.80 × 1,690.80
  4. Step 4: Simplify right side
    775.69x = 2,858,820.49
  5. Step 5: Solve for x
    x = 2,858,820.49/775.69
  6. Step 6: Final answer
    x = 3,685.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.