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Finding the Third Proportional to 47,361 and 78,927

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Solution

The third proportional to 47,361 and 78,927 is: 131,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,361 : 78,927 = 78,927 : x
  2. Step 2: Convert to fraction form
    47,361/78,927 = 78,927/x
  3. Step 3: Cross multiply
    47,361x = 78,927 × 78,927
  4. Step 4: Simplify right side
    47,361x = 6,229,471,329
  5. Step 5: Solve for x
    x = 6,229,471,329/47,361
  6. Step 6: Final answer
    x = 131,531.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.