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Finding the Third Proportional to 179,213.50 and 279,707.50

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Solution

The third proportional to 179,213.50 and 279,707.50 is: 436,553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,213.50 : 279,707.50 = 279,707.50 : x
  2. Step 2: Convert to fraction form
    179,213.50/279,707.50 = 279,707.50/x
  3. Step 3: Cross multiply
    179,213.50x = 279,707.50 × 279,707.50
  4. Step 4: Simplify right side
    179,213.50x = 78,236,285,556.25
  5. Step 5: Solve for x
    x = 78,236,285,556.25/179,213.50
  6. Step 6: Final answer
    x = 436,553.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.