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Finding the Third Proportional to 389,859 and 851,160

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Solution

The third proportional to 389,859 and 851,160 is: 1,858,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,859 : 851,160 = 851,160 : x
  2. Step 2: Convert to fraction form
    389,859/851,160 = 851,160/x
  3. Step 3: Cross multiply
    389,859x = 851,160 × 851,160
  4. Step 4: Simplify right side
    389,859x = 724,473,345,600
  5. Step 5: Solve for x
    x = 724,473,345,600/389,859
  6. Step 6: Final answer
    x = 1,858,295.81

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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.