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Finding the Third Proportional to 389,856 and 851,154

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Solution

The third proportional to 389,856 and 851,154 is: 1,858,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,856 : 851,154 = 851,154 : x
  2. Step 2: Convert to fraction form
    389,856/851,154 = 851,154/x
  3. Step 3: Cross multiply
    389,856x = 851,154 × 851,154
  4. Step 4: Simplify right side
    389,856x = 724,463,131,716
  5. Step 5: Solve for x
    x = 724,463,131,716/389,856
  6. Step 6: Final answer
    x = 1,858,283.91

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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.