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Finding the Third Proportional to 54,435.13 and 111,056.88

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Solution

The third proportional to 54,435.13 and 111,056.88 is: 226,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,435.13 : 111,056.88 = 111,056.88 : x
  2. Step 2: Convert to fraction form
    54,435.13/111,056.88 = 111,056.88/x
  3. Step 3: Cross multiply
    54,435.13x = 111,056.88 × 111,056.88
  4. Step 4: Simplify right side
    54,435.13x = 12,333,629,484.77
  5. Step 5: Solve for x
    x = 12,333,629,484.77/54,435.13
  6. Step 6: Final answer
    x = 226,574.84

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.