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Finding the Third Proportional to 21,782 and 47,164

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Solution

The third proportional to 21,782 and 47,164 is: 102,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782 : 47,164 = 47,164 : x
  2. Step 2: Convert to fraction form
    21,782/47,164 = 47,164/x
  3. Step 3: Cross multiply
    21,782x = 47,164 × 47,164
  4. Step 4: Simplify right side
    21,782x = 2,224,442,896
  5. Step 5: Solve for x
    x = 2,224,442,896/21,782
  6. Step 6: Final answer
    x = 102,122.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.