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Finding the Third Proportional to 180,577.88 and 279,996.75

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Solution

The third proportional to 180,577.88 and 279,996.75 is: 434,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,577.88 : 279,996.75 = 279,996.75 : x
  2. Step 2: Convert to fraction form
    180,577.88/279,996.75 = 279,996.75/x
  3. Step 3: Cross multiply
    180,577.88x = 279,996.75 × 279,996.75
  4. Step 4: Simplify right side
    180,577.88x = 78,398,180,010.56
  5. Step 5: Solve for x
    x = 78,398,180,010.56/180,577.88
  6. Step 6: Final answer
    x = 434,151.64

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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.