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Finding the Third Proportional to 108,485.44 and 222,256.13

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Solution

The third proportional to 108,485.44 and 222,256.13 is: 455,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,485.44 : 222,256.13 = 222,256.13 : x
  2. Step 2: Convert to fraction form
    108,485.44/222,256.13 = 222,256.13/x
  3. Step 3: Cross multiply
    108,485.44x = 222,256.13 × 222,256.13
  4. Step 4: Simplify right side
    108,485.44x = 49,397,785,100.02
  5. Step 5: Solve for x
    x = 49,397,785,100.02/108,485.44
  6. Step 6: Final answer
    x = 455,340.24

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.