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Finding the Third Proportional to 279,976.50 and 434,230.88

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Solution

The third proportional to 279,976.50 and 434,230.88 is: 673,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,976.50 : 434,230.88 = 434,230.88 : x
  2. Step 2: Convert to fraction form
    279,976.50/434,230.88 = 434,230.88/x
  3. Step 3: Cross multiply
    279,976.50x = 434,230.88 × 434,230.88
  4. Step 4: Simplify right side
    279,976.50x = 188,556,452,803.27
  5. Step 5: Solve for x
    x = 188,556,452,803.27/279,976.50
  6. Step 6: Final answer
    x = 673,472.43

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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.