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Finding the Third Proportional to 180,276 and 261,119.25

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Solution

The third proportional to 180,276 and 261,119.25 is: 378,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,276 : 261,119.25 = 261,119.25 : x
  2. Step 2: Convert to fraction form
    180,276/261,119.25 = 261,119.25/x
  3. Step 3: Cross multiply
    180,276x = 261,119.25 × 261,119.25
  4. Step 4: Simplify right side
    180,276x = 68,183,262,720.56
  5. Step 5: Solve for x
    x = 68,183,262,720.56/180,276
  6. Step 6: Final answer
    x = 378,215.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.