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Finding the Third Proportional to 1,210.50 and 1,940.75

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Solution

The third proportional to 1,210.50 and 1,940.75 is: 3,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.50 : 1,940.75 = 1,940.75 : x
  2. Step 2: Convert to fraction form
    1,210.50/1,940.75 = 1,940.75/x
  3. Step 3: Cross multiply
    1,210.50x = 1,940.75 × 1,940.75
  4. Step 4: Simplify right side
    1,210.50x = 3,766,510.56
  5. Step 5: Solve for x
    x = 3,766,510.56/1,210.50
  6. Step 6: Final answer
    x = 3,111.53

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.