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Finding the Third Proportional to 275,958 and 421,957

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Solution

The third proportional to 275,958 and 421,957 is: 645,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,958 : 421,957 = 421,957 : x
  2. Step 2: Convert to fraction form
    275,958/421,957 = 421,957/x
  3. Step 3: Cross multiply
    275,958x = 421,957 × 421,957
  4. Step 4: Simplify right side
    275,958x = 178,047,709,849
  5. Step 5: Solve for x
    x = 178,047,709,849/275,958
  6. Step 6: Final answer
    x = 645,198.58

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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.