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Finding the Third Proportional to 20,930 and 47,237

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Solution

The third proportional to 20,930 and 47,237 is: 106,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930 : 47,237 = 47,237 : x
  2. Step 2: Convert to fraction form
    20,930/47,237 = 47,237/x
  3. Step 3: Cross multiply
    20,930x = 47,237 × 47,237
  4. Step 4: Simplify right side
    20,930x = 2,231,334,169
  5. Step 5: Solve for x
    x = 2,231,334,169/20,930
  6. Step 6: Final answer
    x = 106,609.37

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.