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Finding the Third Proportional to 21,581 and 47,084

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Solution

The third proportional to 21,581 and 47,084 is: 102,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,581 : 47,084 = 47,084 : x
  2. Step 2: Convert to fraction form
    21,581/47,084 = 47,084/x
  3. Step 3: Cross multiply
    21,581x = 47,084 × 47,084
  4. Step 4: Simplify right side
    21,581x = 2,216,903,056
  5. Step 5: Solve for x
    x = 2,216,903,056/21,581
  6. Step 6: Final answer
    x = 102,724.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.