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Finding the Third Proportional to 128,443.50 and 204,556.50

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Solution

The third proportional to 128,443.50 and 204,556.50 is: 325,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,443.50 : 204,556.50 = 204,556.50 : x
  2. Step 2: Convert to fraction form
    128,443.50/204,556.50 = 204,556.50/x
  3. Step 3: Cross multiply
    128,443.50x = 204,556.50 × 204,556.50
  4. Step 4: Simplify right side
    128,443.50x = 41,843,361,692.25
  5. Step 5: Solve for x
    x = 41,843,361,692.25/128,443.50
  6. Step 6: Final answer
    x = 325,772.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.