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Finding the Third Proportional to 300,429 and 422,577

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Solution

The third proportional to 300,429 and 422,577 is: 594,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,429 : 422,577 = 422,577 : x
  2. Step 2: Convert to fraction form
    300,429/422,577 = 422,577/x
  3. Step 3: Cross multiply
    300,429x = 422,577 × 422,577
  4. Step 4: Simplify right side
    300,429x = 178,571,320,929
  5. Step 5: Solve for x
    x = 178,571,320,929/300,429
  6. Step 6: Final answer
    x = 594,387.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.