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Finding the Third Proportional to 207,858 and 450,982

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Solution

The third proportional to 207,858 and 450,982 is: 978,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,858 : 450,982 = 450,982 : x
  2. Step 2: Convert to fraction form
    207,858/450,982 = 450,982/x
  3. Step 3: Cross multiply
    207,858x = 450,982 × 450,982
  4. Step 4: Simplify right side
    207,858x = 203,384,764,324
  5. Step 5: Solve for x
    x = 203,384,764,324/207,858
  6. Step 6: Final answer
    x = 978,479.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.