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Finding the Third Proportional to 50,244 and 71,416.50

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Solution

The third proportional to 50,244 and 71,416.50 is: 101,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,244 : 71,416.50 = 71,416.50 : x
  2. Step 2: Convert to fraction form
    50,244/71,416.50 = 71,416.50/x
  3. Step 3: Cross multiply
    50,244x = 71,416.50 × 71,416.50
  4. Step 4: Simplify right side
    50,244x = 5,100,316,472.25
  5. Step 5: Solve for x
    x = 5,100,316,472.25/50,244
  6. Step 6: Final answer
    x = 101,510.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.