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Finding the Third Proportional to 197,868 and 306,888

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Solution

The third proportional to 197,868 and 306,888 is: 475,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,868 : 306,888 = 306,888 : x
  2. Step 2: Convert to fraction form
    197,868/306,888 = 306,888/x
  3. Step 3: Cross multiply
    197,868x = 306,888 × 306,888
  4. Step 4: Simplify right side
    197,868x = 94,180,244,544
  5. Step 5: Solve for x
    x = 94,180,244,544/197,868
  6. Step 6: Final answer
    x = 475,975.12

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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.