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Finding the Third Proportional to 47,138 and 68,169

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Solution

The third proportional to 47,138 and 68,169 is: 98,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138 : 68,169 = 68,169 : x
  2. Step 2: Convert to fraction form
    47,138/68,169 = 68,169/x
  3. Step 3: Cross multiply
    47,138x = 68,169 × 68,169
  4. Step 4: Simplify right side
    47,138x = 4,647,012,561
  5. Step 5: Solve for x
    x = 4,647,012,561/47,138
  6. Step 6: Final answer
    x = 98,583.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.