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Finding the Third Proportional to 119,978 and 186,255

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Solution

The third proportional to 119,978 and 186,255 is: 289,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,978 : 186,255 = 186,255 : x
  2. Step 2: Convert to fraction form
    119,978/186,255 = 186,255/x
  3. Step 3: Cross multiply
    119,978x = 186,255 × 186,255
  4. Step 4: Simplify right side
    119,978x = 34,690,925,025
  5. Step 5: Solve for x
    x = 34,690,925,025/119,978
  6. Step 6: Final answer
    x = 289,144.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.