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Finding the Third Proportional to 51,174 and 78,381

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Solution

The third proportional to 51,174 and 78,381 is: 120,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,174 : 78,381 = 78,381 : x
  2. Step 2: Convert to fraction form
    51,174/78,381 = 78,381/x
  3. Step 3: Cross multiply
    51,174x = 78,381 × 78,381
  4. Step 4: Simplify right side
    51,174x = 6,143,581,161
  5. Step 5: Solve for x
    x = 6,143,581,161/51,174
  6. Step 6: Final answer
    x = 120,052.78

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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.