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Finding the Third Proportional to 33,999.75 and 71,097.75

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Solution

The third proportional to 33,999.75 and 71,097.75 is: 148,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999.75 : 71,097.75 = 71,097.75 : x
  2. Step 2: Convert to fraction form
    33,999.75/71,097.75 = 71,097.75/x
  3. Step 3: Cross multiply
    33,999.75x = 71,097.75 × 71,097.75
  4. Step 4: Simplify right side
    33,999.75x = 5,054,890,055.06
  5. Step 5: Solve for x
    x = 5,054,890,055.06/33,999.75
  6. Step 6: Final answer
    x = 148,674.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.