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Finding the Third Proportional to 505,827 and 762,081

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Solution

The third proportional to 505,827 and 762,081 is: 1,148,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,827 : 762,081 = 762,081 : x
  2. Step 2: Convert to fraction form
    505,827/762,081 = 762,081/x
  3. Step 3: Cross multiply
    505,827x = 762,081 × 762,081
  4. Step 4: Simplify right side
    505,827x = 580,767,450,561
  5. Step 5: Solve for x
    x = 580,767,450,561/505,827
  6. Step 6: Final answer
    x = 1,148,154.31

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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.