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Finding the Third Proportional to 449,612 and 677,388

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Solution

The third proportional to 449,612 and 677,388 is: 1,020,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,612 : 677,388 = 677,388 : x
  2. Step 2: Convert to fraction form
    449,612/677,388 = 677,388/x
  3. Step 3: Cross multiply
    449,612x = 677,388 × 677,388
  4. Step 4: Simplify right side
    449,612x = 458,854,502,544
  5. Step 5: Solve for x
    x = 458,854,502,544/449,612
  6. Step 6: Final answer
    x = 1,020,556.62

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