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Finding the Third Proportional to 30,211.50 and 65,049.75

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Solution

The third proportional to 30,211.50 and 65,049.75 is: 140,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.50 : 65,049.75 = 65,049.75 : x
  2. Step 2: Convert to fraction form
    30,211.50/65,049.75 = 65,049.75/x
  3. Step 3: Cross multiply
    30,211.50x = 65,049.75 × 65,049.75
  4. Step 4: Simplify right side
    30,211.50x = 4,231,469,975.06
  5. Step 5: Solve for x
    x = 4,231,469,975.06/30,211.50
  6. Step 6: Final answer
    x = 140,061.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.