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Finding the Third Proportional to 771.89 and 1,640.53

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Solution

The third proportional to 771.89 and 1,640.53 is: 3,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.89 : 1,640.53 = 1,640.53 : x
  2. Step 2: Convert to fraction form
    771.89/1,640.53 = 1,640.53/x
  3. Step 3: Cross multiply
    771.89x = 1,640.53 × 1,640.53
  4. Step 4: Simplify right side
    771.89x = 2,691,342.78
  5. Step 5: Solve for x
    x = 2,691,342.78/771.89
  6. Step 6: Final answer
    x = 3,486.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.