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Finding the Third Proportional to 269,463 and 422,708.25

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Solution

The third proportional to 269,463 and 422,708.25 is: 663,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,463 : 422,708.25 = 422,708.25 : x
  2. Step 2: Convert to fraction form
    269,463/422,708.25 = 422,708.25/x
  3. Step 3: Cross multiply
    269,463x = 422,708.25 × 422,708.25
  4. Step 4: Simplify right side
    269,463x = 178,682,264,618.06
  5. Step 5: Solve for x
    x = 178,682,264,618.06/269,463
  6. Step 6: Final answer
    x = 663,105.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.