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Finding the Third Proportional to 775.66 and 1,687.81

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Solution

The third proportional to 775.66 and 1,687.81 is: 3,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.66 : 1,687.81 = 1,687.81 : x
  2. Step 2: Convert to fraction form
    775.66/1,687.81 = 1,687.81/x
  3. Step 3: Cross multiply
    775.66x = 1,687.81 × 1,687.81
  4. Step 4: Simplify right side
    775.66x = 2,848,711.04
  5. Step 5: Solve for x
    x = 2,848,711.04/775.66
  6. Step 6: Final answer
    x = 3,672.65

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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.