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Finding the Third Proportional to 449,622 and 677,403

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Solution

The third proportional to 449,622 and 677,403 is: 1,020,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,622 : 677,403 = 677,403 : x
  2. Step 2: Convert to fraction form
    449,622/677,403 = 677,403/x
  3. Step 3: Cross multiply
    449,622x = 677,403 × 677,403
  4. Step 4: Simplify right side
    449,622x = 458,874,824,409
  5. Step 5: Solve for x
    x = 458,874,824,409/449,622
  6. Step 6: Final answer
    x = 1,020,579.12

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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.