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Finding the Third Proportional to 968.06 and 1,853.44

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Solution

The third proportional to 968.06 and 1,853.44 is: 3,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.06 : 1,853.44 = 1,853.44 : x
  2. Step 2: Convert to fraction form
    968.06/1,853.44 = 1,853.44/x
  3. Step 3: Cross multiply
    968.06x = 1,853.44 × 1,853.44
  4. Step 4: Simplify right side
    968.06x = 3,435,230.57
  5. Step 5: Solve for x
    x = 3,435,230.57/968.06
  6. Step 6: Final answer
    x = 3,548.56

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.