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Finding the Third Proportional to 119,129 and 259,615

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Solution

The third proportional to 119,129 and 259,615 is: 565,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,129 : 259,615 = 259,615 : x
  2. Step 2: Convert to fraction form
    119,129/259,615 = 259,615/x
  3. Step 3: Cross multiply
    119,129x = 259,615 × 259,615
  4. Step 4: Simplify right side
    119,129x = 67,399,948,225
  5. Step 5: Solve for x
    x = 67,399,948,225/119,129
  6. Step 6: Final answer
    x = 565,772.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.