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Finding the Third Proportional to 66,826 and 139,163

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Solution

The third proportional to 66,826 and 139,163 is: 289,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,826 : 139,163 = 139,163 : x
  2. Step 2: Convert to fraction form
    66,826/139,163 = 139,163/x
  3. Step 3: Cross multiply
    66,826x = 139,163 × 139,163
  4. Step 4: Simplify right side
    66,826x = 19,366,340,569
  5. Step 5: Solve for x
    x = 19,366,340,569/66,826
  6. Step 6: Final answer
    x = 289,802.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.