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Finding the Third Proportional to 4,890.75 and 7,577.25

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Solution

The third proportional to 4,890.75 and 7,577.25 is: 11,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.75 : 7,577.25 = 7,577.25 : x
  2. Step 2: Convert to fraction form
    4,890.75/7,577.25 = 7,577.25/x
  3. Step 3: Cross multiply
    4,890.75x = 7,577.25 × 7,577.25
  4. Step 4: Simplify right side
    4,890.75x = 57,414,717.56
  5. Step 5: Solve for x
    x = 57,414,717.56/4,890.75
  6. Step 6: Final answer
    x = 11,739.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.