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Finding the Third Proportional to 449,220.75 and 678,509.25

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Solution

The third proportional to 449,220.75 and 678,509.25 is: 1,024,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,220.75 : 678,509.25 = 678,509.25 : x
  2. Step 2: Convert to fraction form
    449,220.75/678,509.25 = 678,509.25/x
  3. Step 3: Cross multiply
    449,220.75x = 678,509.25 × 678,509.25
  4. Step 4: Simplify right side
    449,220.75x = 460,374,802,335.56
  5. Step 5: Solve for x
    x = 460,374,802,335.56/449,220.75
  6. Step 6: Final answer
    x = 1,024,829.78

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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.