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Finding the Third Proportional to 999.81 and 2,181.56

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Solution

The third proportional to 999.81 and 2,181.56 is: 4,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.81 : 2,181.56 = 2,181.56 : x
  2. Step 2: Convert to fraction form
    999.81/2,181.56 = 2,181.56/x
  3. Step 3: Cross multiply
    999.81x = 2,181.56 × 2,181.56
  4. Step 4: Simplify right side
    999.81x = 4,759,214.94
  5. Step 5: Solve for x
    x = 4,759,214.94/999.81
  6. Step 6: Final answer
    x = 4,760.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.