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Finding the Third Proportional to 21,661 and 47,239

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Solution

The third proportional to 21,661 and 47,239 is: 103,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661 : 47,239 = 47,239 : x
  2. Step 2: Convert to fraction form
    21,661/47,239 = 47,239/x
  3. Step 3: Cross multiply
    21,661x = 47,239 × 47,239
  4. Step 4: Simplify right side
    21,661x = 2,231,523,121
  5. Step 5: Solve for x
    x = 2,231,523,121/21,661
  6. Step 6: Final answer
    x = 103,020.32

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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.