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Finding the Third Proportional to 1,781.75 and 3,865.25

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Solution

The third proportional to 1,781.75 and 3,865.25 is: 8,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.75 : 3,865.25 = 3,865.25 : x
  2. Step 2: Convert to fraction form
    1,781.75/3,865.25 = 3,865.25/x
  3. Step 3: Cross multiply
    1,781.75x = 3,865.25 × 3,865.25
  4. Step 4: Simplify right side
    1,781.75x = 14,940,157.56
  5. Step 5: Solve for x
    x = 14,940,157.56/1,781.75
  6. Step 6: Final answer
    x = 8,385.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.