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Finding the Third Proportional to 210,404 and 454,504

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Solution

The third proportional to 210,404 and 454,504 is: 981,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,404 : 454,504 = 454,504 : x
  2. Step 2: Convert to fraction form
    210,404/454,504 = 454,504/x
  3. Step 3: Cross multiply
    210,404x = 454,504 × 454,504
  4. Step 4: Simplify right side
    210,404x = 206,573,886,016
  5. Step 5: Solve for x
    x = 206,573,886,016/210,404
  6. Step 6: Final answer
    x = 981,796.38

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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.