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Finding the Third Proportional to 211,422 and 456,828

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Solution

The third proportional to 211,422 and 456,828 is: 987,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,422 : 456,828 = 456,828 : x
  2. Step 2: Convert to fraction form
    211,422/456,828 = 456,828/x
  3. Step 3: Cross multiply
    211,422x = 456,828 × 456,828
  4. Step 4: Simplify right side
    211,422x = 208,691,821,584
  5. Step 5: Solve for x
    x = 208,691,821,584/211,422
  6. Step 6: Final answer
    x = 987,086.59

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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.