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Finding the Third Proportional to 2,659.50 and 3,015.56

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Solution

The third proportional to 2,659.50 and 3,015.56 is: 3,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.50 : 3,015.56 = 3,015.56 : x
  2. Step 2: Convert to fraction form
    2,659.50/3,015.56 = 3,015.56/x
  3. Step 3: Cross multiply
    2,659.50x = 3,015.56 × 3,015.56
  4. Step 4: Simplify right side
    2,659.50x = 9,093,617.19
  5. Step 5: Solve for x
    x = 9,093,617.19/2,659.50
  6. Step 6: Final answer
    x = 3,419.30

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.