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Finding the Third Proportional to 120,181 and 186,830

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Solution

The third proportional to 120,181 and 186,830 is: 290,440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,181 : 186,830 = 186,830 : x
  2. Step 2: Convert to fraction form
    120,181/186,830 = 186,830/x
  3. Step 3: Cross multiply
    120,181x = 186,830 × 186,830
  4. Step 4: Simplify right side
    120,181x = 34,905,448,900
  5. Step 5: Solve for x
    x = 34,905,448,900/120,181
  6. Step 6: Final answer
    x = 290,440.66

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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.