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Finding the Third Proportional to 260,380 and 405,793

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Solution

The third proportional to 260,380 and 405,793 is: 632,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,380 : 405,793 = 405,793 : x
  2. Step 2: Convert to fraction form
    260,380/405,793 = 405,793/x
  3. Step 3: Cross multiply
    260,380x = 405,793 × 405,793
  4. Step 4: Simplify right side
    260,380x = 164,667,958,849
  5. Step 5: Solve for x
    x = 164,667,958,849/260,380
  6. Step 6: Final answer
    x = 632,414.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.