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Finding the Third Proportional to 66,825 and 139,179

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Solution

The third proportional to 66,825 and 139,179 is: 289,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825 : 139,179 = 139,179 : x
  2. Step 2: Convert to fraction form
    66,825/139,179 = 139,179/x
  3. Step 3: Cross multiply
    66,825x = 139,179 × 139,179
  4. Step 4: Simplify right side
    66,825x = 19,370,794,041
  5. Step 5: Solve for x
    x = 19,370,794,041/66,825
  6. Step 6: Final answer
    x = 289,873.46

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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.