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Finding the Third Proportional to 51,196 and 68,802

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Solution

The third proportional to 51,196 and 68,802 is: 92,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,196 : 68,802 = 68,802 : x
  2. Step 2: Convert to fraction form
    51,196/68,802 = 68,802/x
  3. Step 3: Cross multiply
    51,196x = 68,802 × 68,802
  4. Step 4: Simplify right side
    51,196x = 4,733,715,204
  5. Step 5: Solve for x
    x = 4,733,715,204/51,196
  6. Step 6: Final answer
    x = 92,462.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.