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Finding the Third Proportional to 855.62 and 1,321.21

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Solution

The third proportional to 855.62 and 1,321.21 is: 2,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.62 : 1,321.21 = 1,321.21 : x
  2. Step 2: Convert to fraction form
    855.62/1,321.21 = 1,321.21/x
  3. Step 3: Cross multiply
    855.62x = 1,321.21 × 1,321.21
  4. Step 4: Simplify right side
    855.62x = 1,745,588.02
  5. Step 5: Solve for x
    x = 1,745,588.02/855.62
  6. Step 6: Final answer
    x = 2,040.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.