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Finding the Third Proportional to 116,811 and 245,286

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Solution

The third proportional to 116,811 and 245,286 is: 515,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,811 : 245,286 = 245,286 : x
  2. Step 2: Convert to fraction form
    116,811/245,286 = 245,286/x
  3. Step 3: Cross multiply
    116,811x = 245,286 × 245,286
  4. Step 4: Simplify right side
    116,811x = 60,165,221,796
  5. Step 5: Solve for x
    x = 60,165,221,796/116,811
  6. Step 6: Final answer
    x = 515,064.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.