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Finding the Third Proportional to 2,376.75 and 3,551.25

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Solution

The third proportional to 2,376.75 and 3,551.25 is: 5,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.75 : 3,551.25 = 3,551.25 : x
  2. Step 2: Convert to fraction form
    2,376.75/3,551.25 = 3,551.25/x
  3. Step 3: Cross multiply
    2,376.75x = 3,551.25 × 3,551.25
  4. Step 4: Simplify right side
    2,376.75x = 12,611,376.56
  5. Step 5: Solve for x
    x = 12,611,376.56/2,376.75
  6. Step 6: Final answer
    x = 5,306.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.