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Finding the Third Proportional to 211,811 and 456,166

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Solution

The third proportional to 211,811 and 456,166 is: 982,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,811 : 456,166 = 456,166 : x
  2. Step 2: Convert to fraction form
    211,811/456,166 = 456,166/x
  3. Step 3: Cross multiply
    211,811x = 456,166 × 456,166
  4. Step 4: Simplify right side
    211,811x = 208,087,419,556
  5. Step 5: Solve for x
    x = 208,087,419,556/211,811
  6. Step 6: Final answer
    x = 982,420.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.