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Finding the Third Proportional to 69,104.25 and 143,128.50

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Solution

The third proportional to 69,104.25 and 143,128.50 is: 296,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,104.25 : 143,128.50 = 143,128.50 : x
  2. Step 2: Convert to fraction form
    69,104.25/143,128.50 = 143,128.50/x
  3. Step 3: Cross multiply
    69,104.25x = 143,128.50 × 143,128.50
  4. Step 4: Simplify right side
    69,104.25x = 20,485,767,512.25
  5. Step 5: Solve for x
    x = 20,485,767,512.25/69,104.25
  6. Step 6: Final answer
    x = 296,447.29

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.