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Finding the Third Proportional to 120,191 and 186,842

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Solution

The third proportional to 120,191 and 186,842 is: 290,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,191 : 186,842 = 186,842 : x
  2. Step 2: Convert to fraction form
    120,191/186,842 = 186,842/x
  3. Step 3: Cross multiply
    120,191x = 186,842 × 186,842
  4. Step 4: Simplify right side
    120,191x = 34,909,932,964
  5. Step 5: Solve for x
    x = 34,909,932,964/120,191
  6. Step 6: Final answer
    x = 290,453.80

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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.