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Finding the Third Proportional to 291,276 and 449,874

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Solution

The third proportional to 291,276 and 449,874 is: 694,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,276 : 449,874 = 449,874 : x
  2. Step 2: Convert to fraction form
    291,276/449,874 = 449,874/x
  3. Step 3: Cross multiply
    291,276x = 449,874 × 449,874
  4. Step 4: Simplify right side
    291,276x = 202,386,615,876
  5. Step 5: Solve for x
    x = 202,386,615,876/291,276
  6. Step 6: Final answer
    x = 694,827.64

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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.