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Finding the Third Proportional to 3,742.88 and 7,485.75

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Solution

The third proportional to 3,742.88 and 7,485.75 is: 14,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.88 : 7,485.75 = 7,485.75 : x
  2. Step 2: Convert to fraction form
    3,742.88/7,485.75 = 7,485.75/x
  3. Step 3: Cross multiply
    3,742.88x = 7,485.75 × 7,485.75
  4. Step 4: Simplify right side
    3,742.88x = 56,036,453.06
  5. Step 5: Solve for x
    x = 56,036,453.06/3,742.88
  6. Step 6: Final answer
    x = 14,971.50

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These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.