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Finding the Third Proportional to 119,979 and 186,257

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Solution

The third proportional to 119,979 and 186,257 is: 289,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,979 : 186,257 = 186,257 : x
  2. Step 2: Convert to fraction form
    119,979/186,257 = 186,257/x
  3. Step 3: Cross multiply
    119,979x = 186,257 × 186,257
  4. Step 4: Simplify right side
    119,979x = 34,691,670,049
  5. Step 5: Solve for x
    x = 34,691,670,049/119,979
  6. Step 6: Final answer
    x = 289,147.85

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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.