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Finding the Third Proportional to 406,842 and 850,860

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Solution

The third proportional to 406,842 and 850,860 is: 1,779,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,842 : 850,860 = 850,860 : x
  2. Step 2: Convert to fraction form
    406,842/850,860 = 850,860/x
  3. Step 3: Cross multiply
    406,842x = 850,860 × 850,860
  4. Step 4: Simplify right side
    406,842x = 723,962,739,600
  5. Step 5: Solve for x
    x = 723,962,739,600/406,842
  6. Step 6: Final answer
    x = 1,779,469.03

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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.