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Finding the Third Proportional to 50,433 and 108,645

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Solution

The third proportional to 50,433 and 108,645 is: 234,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,433 : 108,645 = 108,645 : x
  2. Step 2: Convert to fraction form
    50,433/108,645 = 108,645/x
  3. Step 3: Cross multiply
    50,433x = 108,645 × 108,645
  4. Step 4: Simplify right side
    50,433x = 11,803,736,025
  5. Step 5: Solve for x
    x = 11,803,736,025/50,433
  6. Step 6: Final answer
    x = 234,047.87

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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.