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Finding the Third Proportional to 21,722 and 47,008

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Solution

The third proportional to 21,722 and 47,008 is: 101,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722 : 47,008 = 47,008 : x
  2. Step 2: Convert to fraction form
    21,722/47,008 = 47,008/x
  3. Step 3: Cross multiply
    21,722x = 47,008 × 47,008
  4. Step 4: Simplify right side
    21,722x = 2,209,752,064
  5. Step 5: Solve for x
    x = 2,209,752,064/21,722
  6. Step 6: Final answer
    x = 101,728.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.