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Finding the Third Proportional to 449,205.75 and 678,487.22

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Solution

The third proportional to 449,205.75 and 678,487.22 is: 1,024,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,205.75 : 678,487.22 = 678,487.22 : x
  2. Step 2: Convert to fraction form
    449,205.75/678,487.22 = 678,487.22/x
  3. Step 3: Cross multiply
    449,205.75x = 678,487.22 × 678,487.22
  4. Step 4: Simplify right side
    449,205.75x = 460,344,906,007.11
  5. Step 5: Solve for x
    x = 460,344,906,007.11/449,205.75
  6. Step 6: Final answer
    x = 1,024,797.45

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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.