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Finding the Third Proportional to 223,842 and 491,788

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Solution

The third proportional to 223,842 and 491,788 is: 1,080,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,842 : 491,788 = 491,788 : x
  2. Step 2: Convert to fraction form
    223,842/491,788 = 491,788/x
  3. Step 3: Cross multiply
    223,842x = 491,788 × 491,788
  4. Step 4: Simplify right side
    223,842x = 241,855,436,944
  5. Step 5: Solve for x
    x = 241,855,436,944/223,842
  6. Step 6: Final answer
    x = 1,080,473.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.