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Finding the Third Proportional to 2,013.75 and 3,035.25

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Solution

The third proportional to 2,013.75 and 3,035.25 is: 4,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.75 : 3,035.25 = 3,035.25 : x
  2. Step 2: Convert to fraction form
    2,013.75/3,035.25 = 3,035.25/x
  3. Step 3: Cross multiply
    2,013.75x = 3,035.25 × 3,035.25
  4. Step 4: Simplify right side
    2,013.75x = 9,212,742.56
  5. Step 5: Solve for x
    x = 9,212,742.56/2,013.75
  6. Step 6: Final answer
    x = 4,574.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.