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Finding the Third Proportional to 119,886 and 180,135

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Solution

The third proportional to 119,886 and 180,135 is: 270,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,886 : 180,135 = 180,135 : x
  2. Step 2: Convert to fraction form
    119,886/180,135 = 180,135/x
  3. Step 3: Cross multiply
    119,886x = 180,135 × 180,135
  4. Step 4: Simplify right side
    119,886x = 32,448,618,225
  5. Step 5: Solve for x
    x = 32,448,618,225/119,886
  6. Step 6: Final answer
    x = 270,662.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.