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Finding the Third Proportional to 300,645 and 422,901

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Solution

The third proportional to 300,645 and 422,901 is: 594,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,645 : 422,901 = 422,901 : x
  2. Step 2: Convert to fraction form
    300,645/422,901 = 422,901/x
  3. Step 3: Cross multiply
    300,645x = 422,901 × 422,901
  4. Step 4: Simplify right side
    300,645x = 178,845,255,801
  5. Step 5: Solve for x
    x = 178,845,255,801/300,645
  6. Step 6: Final answer
    x = 594,871.88

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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.