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Finding the Third Proportional to 196,155 and 303,105.38

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Solution

The third proportional to 196,155 and 303,105.38 is: 468,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,155 : 303,105.38 = 303,105.38 : x
  2. Step 2: Convert to fraction form
    196,155/303,105.38 = 303,105.38/x
  3. Step 3: Cross multiply
    196,155x = 303,105.38 × 303,105.38
  4. Step 4: Simplify right side
    196,155x = 91,872,868,353.89
  5. Step 5: Solve for x
    x = 91,872,868,353.89/196,155
  6. Step 6: Final answer
    x = 468,368.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.