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Finding the Third Proportional to 505,109 and 784,227

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Solution

The third proportional to 505,109 and 784,227 is: 1,217,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,109 : 784,227 = 784,227 : x
  2. Step 2: Convert to fraction form
    505,109/784,227 = 784,227/x
  3. Step 3: Cross multiply
    505,109x = 784,227 × 784,227
  4. Step 4: Simplify right side
    505,109x = 615,011,987,529
  5. Step 5: Solve for x
    x = 615,011,987,529/505,109
  6. Step 6: Final answer
    x = 1,217,582.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.