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Finding the Third Proportional to 128,998.50 and 199,249.50

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Solution

The third proportional to 128,998.50 and 199,249.50 is: 307,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,998.50 : 199,249.50 = 199,249.50 : x
  2. Step 2: Convert to fraction form
    128,998.50/199,249.50 = 199,249.50/x
  3. Step 3: Cross multiply
    128,998.50x = 199,249.50 × 199,249.50
  4. Step 4: Simplify right side
    128,998.50x = 39,700,363,250.25
  5. Step 5: Solve for x
    x = 39,700,363,250.25/128,998.50
  6. Step 6: Final answer
    x = 307,758.33

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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.