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Finding the Third Proportional to 51,790 and 79,974

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Solution

The third proportional to 51,790 and 79,974 is: 123,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,790 : 79,974 = 79,974 : x
  2. Step 2: Convert to fraction form
    51,790/79,974 = 79,974/x
  3. Step 3: Cross multiply
    51,790x = 79,974 × 79,974
  4. Step 4: Simplify right side
    51,790x = 6,395,840,676
  5. Step 5: Solve for x
    x = 6,395,840,676/51,790
  6. Step 6: Final answer
    x = 123,495.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.