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Finding the Third Proportional to 389,808 and 851,544

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Solution

The third proportional to 389,808 and 851,544 is: 1,860,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,808 : 851,544 = 851,544 : x
  2. Step 2: Convert to fraction form
    389,808/851,544 = 851,544/x
  3. Step 3: Cross multiply
    389,808x = 851,544 × 851,544
  4. Step 4: Simplify right side
    389,808x = 725,127,183,936
  5. Step 5: Solve for x
    x = 725,127,183,936/389,808
  6. Step 6: Final answer
    x = 1,860,216.27

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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.