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Finding the Third Proportional to 427.22 and 919.92

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Solution

The third proportional to 427.22 and 919.92 is: 1,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.22 : 919.92 = 919.92 : x
  2. Step 2: Convert to fraction form
    427.22/919.92 = 919.92/x
  3. Step 3: Cross multiply
    427.22x = 919.92 × 919.92
  4. Step 4: Simplify right side
    427.22x = 846,256.26
  5. Step 5: Solve for x
    x = 846,256.26/427.22
  6. Step 6: Final answer
    x = 1,980.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.