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Finding the Third Proportional to 449,007 and 678,175.50

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Solution

The third proportional to 449,007 and 678,175.50 is: 1,024,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,007 : 678,175.50 = 678,175.50 : x
  2. Step 2: Convert to fraction form
    449,007/678,175.50 = 678,175.50/x
  3. Step 3: Cross multiply
    449,007x = 678,175.50 × 678,175.50
  4. Step 4: Simplify right side
    449,007x = 459,922,008,800.25
  5. Step 5: Solve for x
    x = 459,922,008,800.25/449,007
  6. Step 6: Final answer
    x = 1,024,309.22

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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.