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Finding the Third Proportional to 210,934 and 455,016

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Solution

The third proportional to 210,934 and 455,016 is: 981,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,934 : 455,016 = 455,016 : x
  2. Step 2: Convert to fraction form
    210,934/455,016 = 455,016/x
  3. Step 3: Cross multiply
    210,934x = 455,016 × 455,016
  4. Step 4: Simplify right side
    210,934x = 207,039,560,256
  5. Step 5: Solve for x
    x = 207,039,560,256/210,934
  6. Step 6: Final answer
    x = 981,537.16

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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.