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Finding the Third Proportional to 51,722 and 79,087

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Solution

The third proportional to 51,722 and 79,087 is: 120,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,722 : 79,087 = 79,087 : x
  2. Step 2: Convert to fraction form
    51,722/79,087 = 79,087/x
  3. Step 3: Cross multiply
    51,722x = 79,087 × 79,087
  4. Step 4: Simplify right side
    51,722x = 6,254,753,569
  5. Step 5: Solve for x
    x = 6,254,753,569/51,722
  6. Step 6: Final answer
    x = 120,930.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.