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Finding the Third Proportional to 291,383 and 450,012

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Solution

The third proportional to 291,383 and 450,012 is: 694,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,383 : 450,012 = 450,012 : x
  2. Step 2: Convert to fraction form
    291,383/450,012 = 450,012/x
  3. Step 3: Cross multiply
    291,383x = 450,012 × 450,012
  4. Step 4: Simplify right side
    291,383x = 202,510,800,144
  5. Step 5: Solve for x
    x = 202,510,800,144/291,383
  6. Step 6: Final answer
    x = 694,998.68

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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.