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Finding the Third Proportional to 335,709 and 654,286

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Solution

The third proportional to 335,709 and 654,286 is: 1,275,182.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,709 : 654,286 = 654,286 : x
  2. Step 2: Convert to fraction form
    335,709/654,286 = 654,286/x
  3. Step 3: Cross multiply
    335,709x = 654,286 × 654,286
  4. Step 4: Simplify right side
    335,709x = 428,090,169,796
  5. Step 5: Solve for x
    x = 428,090,169,796/335,709
  6. Step 6: Final answer
    x = 1,275,182.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.