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Finding the Third Proportional to 180,009 and 393,930

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Solution

The third proportional to 180,009 and 393,930 is: 862,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,009 : 393,930 = 393,930 : x
  2. Step 2: Convert to fraction form
    180,009/393,930 = 393,930/x
  3. Step 3: Cross multiply
    180,009x = 393,930 × 393,930
  4. Step 4: Simplify right side
    180,009x = 155,180,844,900
  5. Step 5: Solve for x
    x = 155,180,844,900/180,009
  6. Step 6: Final answer
    x = 862,072.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.