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Finding the Third Proportional to 1,918.50 and 3,150.75

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Solution

The third proportional to 1,918.50 and 3,150.75 is: 5,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.50 : 3,150.75 = 3,150.75 : x
  2. Step 2: Convert to fraction form
    1,918.50/3,150.75 = 3,150.75/x
  3. Step 3: Cross multiply
    1,918.50x = 3,150.75 × 3,150.75
  4. Step 4: Simplify right side
    1,918.50x = 9,927,225.56
  5. Step 5: Solve for x
    x = 9,927,225.56/1,918.50
  6. Step 6: Final answer
    x = 5,174.47

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.