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Finding the Third Proportional to 180,900 and 279,828

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Solution

The third proportional to 180,900 and 279,828 is: 432,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,900 : 279,828 = 279,828 : x
  2. Step 2: Convert to fraction form
    180,900/279,828 = 279,828/x
  3. Step 3: Cross multiply
    180,900x = 279,828 × 279,828
  4. Step 4: Simplify right side
    180,900x = 78,303,709,584
  5. Step 5: Solve for x
    x = 78,303,709,584/180,900
  6. Step 6: Final answer
    x = 432,856.33

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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.