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Finding the Third Proportional to 291,690 and 449,979

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Solution

The third proportional to 291,690 and 449,979 is: 694,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,690 : 449,979 = 449,979 : x
  2. Step 2: Convert to fraction form
    291,690/449,979 = 449,979/x
  3. Step 3: Cross multiply
    291,690x = 449,979 × 449,979
  4. Step 4: Simplify right side
    291,690x = 202,481,100,441
  5. Step 5: Solve for x
    x = 202,481,100,441/291,690
  6. Step 6: Final answer
    x = 694,165.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.