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Finding the Third Proportional to 120,285 and 186,975

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Solution

The third proportional to 120,285 and 186,975 is: 290,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,285 : 186,975 = 186,975 : x
  2. Step 2: Convert to fraction form
    120,285/186,975 = 186,975/x
  3. Step 3: Cross multiply
    120,285x = 186,975 × 186,975
  4. Step 4: Simplify right side
    120,285x = 34,959,650,625
  5. Step 5: Solve for x
    x = 34,959,650,625/120,285
  6. Step 6: Final answer
    x = 290,640.15

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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.