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Finding the Third Proportional to 1,752.75 and 3,456.56

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Solution

The third proportional to 1,752.75 and 3,456.56 is: 6,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.75 : 3,456.56 = 3,456.56 : x
  2. Step 2: Convert to fraction form
    1,752.75/3,456.56 = 3,456.56/x
  3. Step 3: Cross multiply
    1,752.75x = 3,456.56 × 3,456.56
  4. Step 4: Simplify right side
    1,752.75x = 11,947,824.32
  5. Step 5: Solve for x
    x = 11,947,824.32/1,752.75
  6. Step 6: Final answer
    x = 6,816.62

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.