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Finding the Third Proportional to 197,958 and 435,279

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Solution

The third proportional to 197,958 and 435,279 is: 957,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,958 : 435,279 = 435,279 : x
  2. Step 2: Convert to fraction form
    197,958/435,279 = 435,279/x
  3. Step 3: Cross multiply
    197,958x = 435,279 × 435,279
  4. Step 4: Simplify right side
    197,958x = 189,467,807,841
  5. Step 5: Solve for x
    x = 189,467,807,841/197,958
  6. Step 6: Final answer
    x = 957,111.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.