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Finding the Third Proportional to 2,110.50 and 3,074.06

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Solution

The third proportional to 2,110.50 and 3,074.06 is: 4,477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.50 : 3,074.06 = 3,074.06 : x
  2. Step 2: Convert to fraction form
    2,110.50/3,074.06 = 3,074.06/x
  3. Step 3: Cross multiply
    2,110.50x = 3,074.06 × 3,074.06
  4. Step 4: Simplify right side
    2,110.50x = 9,449,860.25
  5. Step 5: Solve for x
    x = 9,449,860.25/2,110.50
  6. Step 6: Final answer
    x = 4,477.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.