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Finding the Third Proportional to 505,811 and 762,057.75

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Solution

The third proportional to 505,811 and 762,057.75 is: 1,148,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,811 : 762,057.75 = 762,057.75 : x
  2. Step 2: Convert to fraction form
    505,811/762,057.75 = 762,057.75/x
  3. Step 3: Cross multiply
    505,811x = 762,057.75 × 762,057.75
  4. Step 4: Simplify right side
    505,811x = 580,732,014,335.06
  5. Step 5: Solve for x
    x = 580,732,014,335.06/505,811
  6. Step 6: Final answer
    x = 1,148,120.57

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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.