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Finding the Third Proportional to 218,488 and 299,016

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Solution

The third proportional to 218,488 and 299,016 is: 409,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,488 : 299,016 = 299,016 : x
  2. Step 2: Convert to fraction form
    218,488/299,016 = 299,016/x
  3. Step 3: Cross multiply
    218,488x = 299,016 × 299,016
  4. Step 4: Simplify right side
    218,488x = 89,410,568,256
  5. Step 5: Solve for x
    x = 89,410,568,256/218,488
  6. Step 6: Final answer
    x = 409,224.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.