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Finding the Third Proportional to 297,686 and 449,293

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Solution

The third proportional to 297,686 and 449,293 is: 678,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,686 : 449,293 = 449,293 : x
  2. Step 2: Convert to fraction form
    297,686/449,293 = 449,293/x
  3. Step 3: Cross multiply
    297,686x = 449,293 × 449,293
  4. Step 4: Simplify right side
    297,686x = 201,864,199,849
  5. Step 5: Solve for x
    x = 201,864,199,849/297,686
  6. Step 6: Final answer
    x = 678,111.16

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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.