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Finding the Third Proportional to 128,550.38 and 197,199.56

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Solution

The third proportional to 128,550.38 and 197,199.56 is: 302,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,550.38 : 197,199.56 = 197,199.56 : x
  2. Step 2: Convert to fraction form
    128,550.38/197,199.56 = 197,199.56/x
  3. Step 3: Cross multiply
    128,550.38x = 197,199.56 × 197,199.56
  4. Step 4: Simplify right side
    128,550.38x = 38,887,667,450.19
  5. Step 5: Solve for x
    x = 38,887,667,450.19/128,550.38
  6. Step 6: Final answer
    x = 302,509.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.