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Finding the Third Proportional to 789.19 and 1,659.94

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Solution

The third proportional to 789.19 and 1,659.94 is: 3,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.19 : 1,659.94 = 1,659.94 : x
  2. Step 2: Convert to fraction form
    789.19/1,659.94 = 1,659.94/x
  3. Step 3: Cross multiply
    789.19x = 1,659.94 × 1,659.94
  4. Step 4: Simplify right side
    789.19x = 2,755,392.50
  5. Step 5: Solve for x
    x = 2,755,392.50/789.19
  6. Step 6: Final answer
    x = 3,491.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.