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Finding the Third Proportional to 47,812 and 66,885

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Solution

The third proportional to 47,812 and 66,885 is: 93,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812 : 66,885 = 66,885 : x
  2. Step 2: Convert to fraction form
    47,812/66,885 = 66,885/x
  3. Step 3: Cross multiply
    47,812x = 66,885 × 66,885
  4. Step 4: Simplify right side
    47,812x = 4,473,603,225
  5. Step 5: Solve for x
    x = 4,473,603,225/47,812
  6. Step 6: Final answer
    x = 93,566.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.