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Finding the Third Proportional to 291,285 and 441,438

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Solution

The third proportional to 291,285 and 441,438 is: 668,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,285 : 441,438 = 441,438 : x
  2. Step 2: Convert to fraction form
    291,285/441,438 = 441,438/x
  3. Step 3: Cross multiply
    291,285x = 441,438 × 441,438
  4. Step 4: Simplify right side
    291,285x = 194,867,507,844
  5. Step 5: Solve for x
    x = 194,867,507,844/291,285
  6. Step 6: Final answer
    x = 668,992.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.