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Finding the Third Proportional to 211,299 and 469,842

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Solution

The third proportional to 211,299 and 469,842 is: 1,044,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,299 : 469,842 = 469,842 : x
  2. Step 2: Convert to fraction form
    211,299/469,842 = 469,842/x
  3. Step 3: Cross multiply
    211,299x = 469,842 × 469,842
  4. Step 4: Simplify right side
    211,299x = 220,751,504,964
  5. Step 5: Solve for x
    x = 220,751,504,964/211,299
  6. Step 6: Final answer
    x = 1,044,735.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.