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Finding the Third Proportional to 406,829 and 850,837

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Solution

The third proportional to 406,829 and 850,837 is: 1,779,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,829 : 850,837 = 850,837 : x
  2. Step 2: Convert to fraction form
    406,829/850,837 = 850,837/x
  3. Step 3: Cross multiply
    406,829x = 850,837 × 850,837
  4. Step 4: Simplify right side
    406,829x = 723,923,600,569
  5. Step 5: Solve for x
    x = 723,923,600,569/406,829
  6. Step 6: Final answer
    x = 1,779,429.69

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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.