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Finding the Third Proportional to 179,107.50 and 279,556.50

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Solution

The third proportional to 179,107.50 and 279,556.50 is: 436,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,107.50 : 279,556.50 = 279,556.50 : x
  2. Step 2: Convert to fraction form
    179,107.50/279,556.50 = 279,556.50/x
  3. Step 3: Cross multiply
    179,107.50x = 279,556.50 × 279,556.50
  4. Step 4: Simplify right side
    179,107.50x = 78,151,836,692.25
  5. Step 5: Solve for x
    x = 78,151,836,692.25/179,107.50
  6. Step 6: Final answer
    x = 436,340.39

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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.