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Finding the Third Proportional to 62,668 and 136,856

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Solution

The third proportional to 62,668 and 136,856 is: 298,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,668 : 136,856 = 136,856 : x
  2. Step 2: Convert to fraction form
    62,668/136,856 = 136,856/x
  3. Step 3: Cross multiply
    62,668x = 136,856 × 136,856
  4. Step 4: Simplify right side
    62,668x = 18,729,564,736
  5. Step 5: Solve for x
    x = 18,729,564,736/62,668
  6. Step 6: Final answer
    x = 298,869.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.