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Finding the Third Proportional to 21,437 and 47,081

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Solution

The third proportional to 21,437 and 47,081 is: 103,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,437 : 47,081 = 47,081 : x
  2. Step 2: Convert to fraction form
    21,437/47,081 = 47,081/x
  3. Step 3: Cross multiply
    21,437x = 47,081 × 47,081
  4. Step 4: Simplify right side
    21,437x = 2,216,620,561
  5. Step 5: Solve for x
    x = 2,216,620,561/21,437
  6. Step 6: Final answer
    x = 103,401.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.