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Finding the Third Proportional to 272,619 and 413,834.25

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Solution

The third proportional to 272,619 and 413,834.25 is: 628,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,619 : 413,834.25 = 413,834.25 : x
  2. Step 2: Convert to fraction form
    272,619/413,834.25 = 413,834.25/x
  3. Step 3: Cross multiply
    272,619x = 413,834.25 × 413,834.25
  4. Step 4: Simplify right side
    272,619x = 171,258,786,473.06
  5. Step 5: Solve for x
    x = 171,258,786,473.06/272,619
  6. Step 6: Final answer
    x = 628,198.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.