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Finding the Third Proportional to 297,636 and 449,136

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Solution

The third proportional to 297,636 and 449,136 is: 677,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,636 : 449,136 = 449,136 : x
  2. Step 2: Convert to fraction form
    297,636/449,136 = 449,136/x
  3. Step 3: Cross multiply
    297,636x = 449,136 × 449,136
  4. Step 4: Simplify right side
    297,636x = 201,723,146,496
  5. Step 5: Solve for x
    x = 201,723,146,496/297,636
  6. Step 6: Final answer
    x = 677,751.17

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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.