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Finding the Third Proportional to 180,840 and 393,828

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Solution

The third proportional to 180,840 and 393,828 is: 857,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,840 : 393,828 = 393,828 : x
  2. Step 2: Convert to fraction form
    180,840/393,828 = 393,828/x
  3. Step 3: Cross multiply
    180,840x = 393,828 × 393,828
  4. Step 4: Simplify right side
    180,840x = 155,100,493,584
  5. Step 5: Solve for x
    x = 155,100,493,584/180,840
  6. Step 6: Final answer
    x = 857,666.96

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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.