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Finding the Third Proportional to 449,154 and 678,399.75

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Solution

The third proportional to 449,154 and 678,399.75 is: 1,024,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,154 : 678,399.75 = 678,399.75 : x
  2. Step 2: Convert to fraction form
    449,154/678,399.75 = 678,399.75/x
  3. Step 3: Cross multiply
    449,154x = 678,399.75 × 678,399.75
  4. Step 4: Simplify right side
    449,154x = 460,226,220,800.06
  5. Step 5: Solve for x
    x = 460,226,220,800.06/449,154
  6. Step 6: Final answer
    x = 1,024,651.28

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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.