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Finding the Third Proportional to 117,538 and 211,747

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Solution

The third proportional to 117,538 and 211,747 is: 381,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,538 : 211,747 = 211,747 : x
  2. Step 2: Convert to fraction form
    117,538/211,747 = 211,747/x
  3. Step 3: Cross multiply
    117,538x = 211,747 × 211,747
  4. Step 4: Simplify right side
    117,538x = 44,836,792,009
  5. Step 5: Solve for x
    x = 44,836,792,009/117,538
  6. Step 6: Final answer
    x = 381,466.35

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.