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Finding the Third Proportional to 2,181.09 and 4,712.34

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Solution

The third proportional to 2,181.09 and 4,712.34 is: 10,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.09 : 4,712.34 = 4,712.34 : x
  2. Step 2: Convert to fraction form
    2,181.09/4,712.34 = 4,712.34/x
  3. Step 3: Cross multiply
    2,181.09x = 4,712.34 × 4,712.34
  4. Step 4: Simplify right side
    2,181.09x = 22,206,183.62
  5. Step 5: Solve for x
    x = 22,206,183.62/2,181.09
  6. Step 6: Final answer
    x = 10,181.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.