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Finding the Third Proportional to 422,950 and 617,546

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Solution

The third proportional to 422,950 and 617,546 is: 901,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,950 : 617,546 = 617,546 : x
  2. Step 2: Convert to fraction form
    422,950/617,546 = 617,546/x
  3. Step 3: Cross multiply
    422,950x = 617,546 × 617,546
  4. Step 4: Simplify right side
    422,950x = 381,363,062,116
  5. Step 5: Solve for x
    x = 381,363,062,116/422,950
  6. Step 6: Final answer
    x = 901,674.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.