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Finding the Third Proportional to 422,904 and 647,751.75

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Solution

The third proportional to 422,904 and 647,751.75 is: 992,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,904 : 647,751.75 = 647,751.75 : x
  2. Step 2: Convert to fraction form
    422,904/647,751.75 = 647,751.75/x
  3. Step 3: Cross multiply
    422,904x = 647,751.75 × 647,751.75
  4. Step 4: Simplify right side
    422,904x = 419,582,329,628.06
  5. Step 5: Solve for x
    x = 419,582,329,628.06/422,904
  6. Step 6: Final answer
    x = 992,145.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.