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Finding the Third Proportional to 389,956 and 850,424

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Solution

The third proportional to 389,956 and 850,424 is: 1,854,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,956 : 850,424 = 850,424 : x
  2. Step 2: Convert to fraction form
    389,956/850,424 = 850,424/x
  3. Step 3: Cross multiply
    389,956x = 850,424 × 850,424
  4. Step 4: Simplify right side
    389,956x = 723,220,979,776
  5. Step 5: Solve for x
    x = 723,220,979,776/389,956
  6. Step 6: Final answer
    x = 1,854,622.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.