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Finding the Third Proportional to 51,467 and 79,763

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Solution

The third proportional to 51,467 and 79,763 is: 123,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,467 : 79,763 = 79,763 : x
  2. Step 2: Convert to fraction form
    51,467/79,763 = 79,763/x
  3. Step 3: Cross multiply
    51,467x = 79,763 × 79,763
  4. Step 4: Simplify right side
    51,467x = 6,362,136,169
  5. Step 5: Solve for x
    x = 6,362,136,169/51,467
  6. Step 6: Final answer
    x = 123,615.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.