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Finding the Third Proportional to 1,296.75 and 1,948.41

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Solution

The third proportional to 1,296.75 and 1,948.41 is: 2,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.75 : 1,948.41 = 1,948.41 : x
  2. Step 2: Convert to fraction form
    1,296.75/1,948.41 = 1,948.41/x
  3. Step 3: Cross multiply
    1,296.75x = 1,948.41 × 1,948.41
  4. Step 4: Simplify right side
    1,296.75x = 3,796,286.92
  5. Step 5: Solve for x
    x = 3,796,286.92/1,296.75
  6. Step 6: Final answer
    x = 2,927.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.