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Finding the Third Proportional to 408,978 and 837,787

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Solution

The third proportional to 408,978 and 837,787 is: 1,716,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,978 : 837,787 = 837,787 : x
  2. Step 2: Convert to fraction form
    408,978/837,787 = 837,787/x
  3. Step 3: Cross multiply
    408,978x = 837,787 × 837,787
  4. Step 4: Simplify right side
    408,978x = 701,887,057,369
  5. Step 5: Solve for x
    x = 701,887,057,369/408,978
  6. Step 6: Final answer
    x = 1,716,197.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.