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Finding the Third Proportional to 2,181.30 and 3,115.34

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Solution

The third proportional to 2,181.30 and 3,115.34 is: 4,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.30 : 3,115.34 = 3,115.34 : x
  2. Step 2: Convert to fraction form
    2,181.30/3,115.34 = 3,115.34/x
  3. Step 3: Cross multiply
    2,181.30x = 3,115.34 × 3,115.34
  4. Step 4: Simplify right side
    2,181.30x = 9,705,318.00
  5. Step 5: Solve for x
    x = 9,705,318.00/2,181.30
  6. Step 6: Final answer
    x = 4,449.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.