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Finding the Third Proportional to 108,453.94 and 222,193.13

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Solution

The third proportional to 108,453.94 and 222,193.13 is: 455,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,453.94 : 222,193.13 = 222,193.13 : x
  2. Step 2: Convert to fraction form
    108,453.94/222,193.13 = 222,193.13/x
  3. Step 3: Cross multiply
    108,453.94x = 222,193.13 × 222,193.13
  4. Step 4: Simplify right side
    108,453.94x = 49,369,784,797.27
  5. Step 5: Solve for x
    x = 49,369,784,797.27/108,453.94
  6. Step 6: Final answer
    x = 455,214.31

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Why These Related Problems?

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