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Finding the Third Proportional to 449,004 and 678,170.25

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Solution

The third proportional to 449,004 and 678,170.25 is: 1,024,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,004 : 678,170.25 = 678,170.25 : x
  2. Step 2: Convert to fraction form
    449,004/678,170.25 = 678,170.25/x
  3. Step 3: Cross multiply
    449,004x = 678,170.25 × 678,170.25
  4. Step 4: Simplify right side
    449,004x = 459,914,887,985.06
  5. Step 5: Solve for x
    x = 459,914,887,985.06/449,004
  6. Step 6: Final answer
    x = 1,024,300.20

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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.