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Finding the Third Proportional to 311,932.50 and 434,614.50

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Solution

The third proportional to 311,932.50 and 434,614.50 is: 605,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,932.50 : 434,614.50 = 434,614.50 : x
  2. Step 2: Convert to fraction form
    311,932.50/434,614.50 = 434,614.50/x
  3. Step 3: Cross multiply
    311,932.50x = 434,614.50 × 434,614.50
  4. Step 4: Simplify right side
    311,932.50x = 188,889,763,610.25
  5. Step 5: Solve for x
    x = 188,889,763,610.25/311,932.50
  6. Step 6: Final answer
    x = 605,546.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.