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Finding the Third Proportional to 406,831 and 850,842

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Solution

The third proportional to 406,831 and 850,842 is: 1,779,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,831 : 850,842 = 850,842 : x
  2. Step 2: Convert to fraction form
    406,831/850,842 = 850,842/x
  3. Step 3: Cross multiply
    406,831x = 850,842 × 850,842
  4. Step 4: Simplify right side
    406,831x = 723,932,108,964
  5. Step 5: Solve for x
    x = 723,932,108,964/406,831
  6. Step 6: Final answer
    x = 1,779,441.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.