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Finding the Third Proportional to 456,474 and 667,809

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Solution

The third proportional to 456,474 and 667,809 is: 976,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,474 : 667,809 = 667,809 : x
  2. Step 2: Convert to fraction form
    456,474/667,809 = 667,809/x
  3. Step 3: Cross multiply
    456,474x = 667,809 × 667,809
  4. Step 4: Simplify right side
    456,474x = 445,968,860,481
  5. Step 5: Solve for x
    x = 445,968,860,481/456,474
  6. Step 6: Final answer
    x = 976,986.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.