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Finding the Third Proportional to 51,399 and 74,910.75

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Solution

The third proportional to 51,399 and 74,910.75 is: 109,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,399 : 74,910.75 = 74,910.75 : x
  2. Step 2: Convert to fraction form
    51,399/74,910.75 = 74,910.75/x
  3. Step 3: Cross multiply
    51,399x = 74,910.75 × 74,910.75
  4. Step 4: Simplify right side
    51,399x = 5,611,620,465.56
  5. Step 5: Solve for x
    x = 5,611,620,465.56/51,399
  6. Step 6: Final answer
    x = 109,177.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.