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Finding the Third Proportional to 290,150 and 443,811

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Solution

The third proportional to 290,150 and 443,811 is: 678,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,150 : 443,811 = 443,811 : x
  2. Step 2: Convert to fraction form
    290,150/443,811 = 443,811/x
  3. Step 3: Cross multiply
    290,150x = 443,811 × 443,811
  4. Step 4: Simplify right side
    290,150x = 196,968,203,721
  5. Step 5: Solve for x
    x = 196,968,203,721/290,150
  6. Step 6: Final answer
    x = 678,849.57

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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.