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Finding the Third Proportional to 509,784 and 764,868

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Solution

The third proportional to 509,784 and 764,868 is: 1,147,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,784 : 764,868 = 764,868 : x
  2. Step 2: Convert to fraction form
    509,784/764,868 = 764,868/x
  3. Step 3: Cross multiply
    509,784x = 764,868 × 764,868
  4. Step 4: Simplify right side
    509,784x = 585,023,057,424
  5. Step 5: Solve for x
    x = 585,023,057,424/509,784
  6. Step 6: Final answer
    x = 1,147,590.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.