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Finding the Third Proportional to 211,920 and 458,256

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Solution

The third proportional to 211,920 and 458,256 is: 990,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,920 : 458,256 = 458,256 : x
  2. Step 2: Convert to fraction form
    211,920/458,256 = 458,256/x
  3. Step 3: Cross multiply
    211,920x = 458,256 × 458,256
  4. Step 4: Simplify right side
    211,920x = 209,998,561,536
  5. Step 5: Solve for x
    x = 209,998,561,536/211,920
  6. Step 6: Final answer
    x = 990,933.19

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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.