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Finding the Third Proportional to 180,886 and 393,913

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Solution

The third proportional to 180,886 and 393,913 is: 857,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,886 : 393,913 = 393,913 : x
  2. Step 2: Convert to fraction form
    180,886/393,913 = 393,913/x
  3. Step 3: Cross multiply
    180,886x = 393,913 × 393,913
  4. Step 4: Simplify right side
    180,886x = 155,167,451,569
  5. Step 5: Solve for x
    x = 155,167,451,569/180,886
  6. Step 6: Final answer
    x = 857,819.02

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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.