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Finding the Third Proportional to 33,554.25 and 73,419.75

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Solution

The third proportional to 33,554.25 and 73,419.75 is: 160,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,554.25 : 73,419.75 = 73,419.75 : x
  2. Step 2: Convert to fraction form
    33,554.25/73,419.75 = 73,419.75/x
  3. Step 3: Cross multiply
    33,554.25x = 73,419.75 × 73,419.75
  4. Step 4: Simplify right side
    33,554.25x = 5,390,459,690.06
  5. Step 5: Solve for x
    x = 5,390,459,690.06/33,554.25
  6. Step 6: Final answer
    x = 160,649.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.