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Finding the Third Proportional to 51,756 and 78,126

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Solution

The third proportional to 51,756 and 78,126 is: 117,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,756 : 78,126 = 78,126 : x
  2. Step 2: Convert to fraction form
    51,756/78,126 = 78,126/x
  3. Step 3: Cross multiply
    51,756x = 78,126 × 78,126
  4. Step 4: Simplify right side
    51,756x = 6,103,671,876
  5. Step 5: Solve for x
    x = 6,103,671,876/51,756
  6. Step 6: Final answer
    x = 117,931.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.