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Finding the Third Proportional to 120,188 and 186,836

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Solution

The third proportional to 120,188 and 186,836 is: 290,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,188 : 186,836 = 186,836 : x
  2. Step 2: Convert to fraction form
    120,188/186,836 = 186,836/x
  3. Step 3: Cross multiply
    120,188x = 186,836 × 186,836
  4. Step 4: Simplify right side
    120,188x = 34,907,690,896
  5. Step 5: Solve for x
    x = 34,907,690,896/120,188
  6. Step 6: Final answer
    x = 290,442.40

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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.