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Finding the Third Proportional to 291,378 and 450,006

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Solution

The third proportional to 291,378 and 450,006 is: 694,992.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,378 : 450,006 = 450,006 : x
  2. Step 2: Convert to fraction form
    291,378/450,006 = 450,006/x
  3. Step 3: Cross multiply
    291,378x = 450,006 × 450,006
  4. Step 4: Simplify right side
    291,378x = 202,505,400,036
  5. Step 5: Solve for x
    x = 202,505,400,036/291,378
  6. Step 6: Final answer
    x = 694,992.07

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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.