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Finding the Third Proportional to 120,171 and 186,819

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Solution

The third proportional to 120,171 and 186,819 is: 290,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,171 : 186,819 = 186,819 : x
  2. Step 2: Convert to fraction form
    120,171/186,819 = 186,819/x
  3. Step 3: Cross multiply
    120,171x = 186,819 × 186,819
  4. Step 4: Simplify right side
    120,171x = 34,901,338,761
  5. Step 5: Solve for x
    x = 34,901,338,761/120,171
  6. Step 6: Final answer
    x = 290,430.63

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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.