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Finding the Third Proportional to 47,782 and 66,831

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Solution

The third proportional to 47,782 and 66,831 is: 93,474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782 : 66,831 = 66,831 : x
  2. Step 2: Convert to fraction form
    47,782/66,831 = 66,831/x
  3. Step 3: Cross multiply
    47,782x = 66,831 × 66,831
  4. Step 4: Simplify right side
    47,782x = 4,466,382,561
  5. Step 5: Solve for x
    x = 4,466,382,561/47,782
  6. Step 6: Final answer
    x = 93,474.17

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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.