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Finding the Third Proportional to 120,171 and 278,189

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Solution

The third proportional to 120,171 and 278,189 is: 643,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,171 : 278,189 = 278,189 : x
  2. Step 2: Convert to fraction form
    120,171/278,189 = 278,189/x
  3. Step 3: Cross multiply
    120,171x = 278,189 × 278,189
  4. Step 4: Simplify right side
    120,171x = 77,389,119,721
  5. Step 5: Solve for x
    x = 77,389,119,721/120,171
  6. Step 6: Final answer
    x = 643,991.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.