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Finding the Third Proportional to 139,869 and 221,814

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Solution

The third proportional to 139,869 and 221,814 is: 351,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,869 : 221,814 = 221,814 : x
  2. Step 2: Convert to fraction form
    139,869/221,814 = 221,814/x
  3. Step 3: Cross multiply
    139,869x = 221,814 × 221,814
  4. Step 4: Simplify right side
    139,869x = 49,201,450,596
  5. Step 5: Solve for x
    x = 49,201,450,596/139,869
  6. Step 6: Final answer
    x = 351,768.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.