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Finding the Third Proportional to 505,838 and 762,099

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Solution

The third proportional to 505,838 and 762,099 is: 1,148,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,838 : 762,099 = 762,099 : x
  2. Step 2: Convert to fraction form
    505,838/762,099 = 762,099/x
  3. Step 3: Cross multiply
    505,838x = 762,099 × 762,099
  4. Step 4: Simplify right side
    505,838x = 580,794,885,801
  5. Step 5: Solve for x
    x = 580,794,885,801/505,838
  6. Step 6: Final answer
    x = 1,148,183.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.