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Finding the Third Proportional to 318,433 and 481,757

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Solution

The third proportional to 318,433 and 481,757 is: 728,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,433 : 481,757 = 481,757 : x
  2. Step 2: Convert to fraction form
    318,433/481,757 = 481,757/x
  3. Step 3: Cross multiply
    318,433x = 481,757 × 481,757
  4. Step 4: Simplify right side
    318,433x = 232,089,807,049
  5. Step 5: Solve for x
    x = 232,089,807,049/318,433
  6. Step 6: Final answer
    x = 728,849.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.