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Finding the Third Proportional to 297,679 and 449,252

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Solution

The third proportional to 297,679 and 449,252 is: 678,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,679 : 449,252 = 449,252 : x
  2. Step 2: Convert to fraction form
    297,679/449,252 = 449,252/x
  3. Step 3: Cross multiply
    297,679x = 449,252 × 449,252
  4. Step 4: Simplify right side
    297,679x = 201,827,359,504
  5. Step 5: Solve for x
    x = 201,827,359,504/297,679
  6. Step 6: Final answer
    x = 678,003.35

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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.