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Finding the Third Proportional to 3,213.75 and 6,851.63

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Solution

The third proportional to 3,213.75 and 6,851.63 is: 14,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.75 : 6,851.63 = 6,851.63 : x
  2. Step 2: Convert to fraction form
    3,213.75/6,851.63 = 6,851.63/x
  3. Step 3: Cross multiply
    3,213.75x = 6,851.63 × 6,851.63
  4. Step 4: Simplify right side
    3,213.75x = 46,944,765.14
  5. Step 5: Solve for x
    x = 46,944,765.14/3,213.75
  6. Step 6: Final answer
    x = 14,607.47

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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.