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Finding the Third Proportional to 131,928.75 and 311,125.50

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Solution

The third proportional to 131,928.75 and 311,125.50 is: 733,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,928.75 : 311,125.50 = 311,125.50 : x
  2. Step 2: Convert to fraction form
    131,928.75/311,125.50 = 311,125.50/x
  3. Step 3: Cross multiply
    131,928.75x = 311,125.50 × 311,125.50
  4. Step 4: Simplify right side
    131,928.75x = 96,799,076,750.25
  5. Step 5: Solve for x
    x = 96,799,076,750.25/131,928.75
  6. Step 6: Final answer
    x = 733,722.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.