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Finding the Third Proportional to 274,784 and 579,086

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Solution

The third proportional to 274,784 and 579,086 is: 1,220,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,784 : 579,086 = 579,086 : x
  2. Step 2: Convert to fraction form
    274,784/579,086 = 579,086/x
  3. Step 3: Cross multiply
    274,784x = 579,086 × 579,086
  4. Step 4: Simplify right side
    274,784x = 335,340,595,396
  5. Step 5: Solve for x
    x = 335,340,595,396/274,784
  6. Step 6: Final answer
    x = 1,220,378.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.