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Finding the Third Proportional to 119,660 and 259,131

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Solution

The third proportional to 119,660 and 259,131 is: 561,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,660 : 259,131 = 259,131 : x
  2. Step 2: Convert to fraction form
    119,660/259,131 = 259,131/x
  3. Step 3: Cross multiply
    119,660x = 259,131 × 259,131
  4. Step 4: Simplify right side
    119,660x = 67,148,875,161
  5. Step 5: Solve for x
    x = 67,148,875,161/119,660
  6. Step 6: Final answer
    x = 561,163.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.