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Finding the Third Proportional to 279,430 and 443,193

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Solution

The third proportional to 279,430 and 443,193 is: 702,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,430 : 443,193 = 443,193 : x
  2. Step 2: Convert to fraction form
    279,430/443,193 = 443,193/x
  3. Step 3: Cross multiply
    279,430x = 443,193 × 443,193
  4. Step 4: Simplify right side
    279,430x = 196,420,035,249
  5. Step 5: Solve for x
    x = 196,420,035,249/279,430
  6. Step 6: Final answer
    x = 702,931.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.