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Finding the Third Proportional to 775.05 and 1,686.80

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Solution

The third proportional to 775.05 and 1,686.80 is: 3,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.05 : 1,686.80 = 1,686.80 : x
  2. Step 2: Convert to fraction form
    775.05/1,686.80 = 1,686.80/x
  3. Step 3: Cross multiply
    775.05x = 1,686.80 × 1,686.80
  4. Step 4: Simplify right side
    775.05x = 2,845,283.70
  5. Step 5: Solve for x
    x = 2,845,283.70/775.05
  6. Step 6: Final answer
    x = 3,671.07

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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.