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Finding the Third Proportional to 119,986.31 and 259,215

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Solution

The third proportional to 119,986.31 and 259,215 is: 560,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,986.31 : 259,215 = 259,215 : x
  2. Step 2: Convert to fraction form
    119,986.31/259,215 = 259,215/x
  3. Step 3: Cross multiply
    119,986.31x = 259,215 × 259,215
  4. Step 4: Simplify right side
    119,986.31x = 67,192,416,225
  5. Step 5: Solve for x
    x = 67,192,416,225/119,986.31
  6. Step 6: Final answer
    x = 560,000.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.