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Finding the Third Proportional to 275,400 and 436,860

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Solution

The third proportional to 275,400 and 436,860 is: 692,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,400 : 436,860 = 436,860 : x
  2. Step 2: Convert to fraction form
    275,400/436,860 = 436,860/x
  3. Step 3: Cross multiply
    275,400x = 436,860 × 436,860
  4. Step 4: Simplify right side
    275,400x = 190,846,659,600
  5. Step 5: Solve for x
    x = 190,846,659,600/275,400
  6. Step 6: Final answer
    x = 692,979.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.