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Finding the Third Proportional to 120,172 and 186,821

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Solution

The third proportional to 120,172 and 186,821 is: 290,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,172 : 186,821 = 186,821 : x
  2. Step 2: Convert to fraction form
    120,172/186,821 = 186,821/x
  3. Step 3: Cross multiply
    120,172x = 186,821 × 186,821
  4. Step 4: Simplify right side
    120,172x = 34,902,086,041
  5. Step 5: Solve for x
    x = 34,902,086,041/120,172
  6. Step 6: Final answer
    x = 290,434.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.