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Finding the Third Proportional to 128,993.63 and 199,241.44

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Solution

The third proportional to 128,993.63 and 199,241.44 is: 307,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,993.63 : 199,241.44 = 199,241.44 : x
  2. Step 2: Convert to fraction form
    128,993.63/199,241.44 = 199,241.44/x
  3. Step 3: Cross multiply
    128,993.63x = 199,241.44 × 199,241.44
  4. Step 4: Simplify right side
    128,993.63x = 39,697,150,417.07
  5. Step 5: Solve for x
    x = 39,697,150,417.07/128,993.63
  6. Step 6: Final answer
    x = 307,745.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.