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Finding the Third Proportional to 390,996 and 851,976

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Solution

The third proportional to 390,996 and 851,976 is: 1,856,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,996 : 851,976 = 851,976 : x
  2. Step 2: Convert to fraction form
    390,996/851,976 = 851,976/x
  3. Step 3: Cross multiply
    390,996x = 851,976 × 851,976
  4. Step 4: Simplify right side
    390,996x = 725,863,104,576
  5. Step 5: Solve for x
    x = 725,863,104,576/390,996
  6. Step 6: Final answer
    x = 1,856,446.37

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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.