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Finding the Third Proportional to 422,340 and 910,695

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Solution

The third proportional to 422,340 and 910,695 is: 1,963,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,340 : 910,695 = 910,695 : x
  2. Step 2: Convert to fraction form
    422,340/910,695 = 910,695/x
  3. Step 3: Cross multiply
    422,340x = 910,695 × 910,695
  4. Step 4: Simplify right side
    422,340x = 829,365,383,025
  5. Step 5: Solve for x
    x = 829,365,383,025/422,340
  6. Step 6: Final answer
    x = 1,963,738.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.