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Finding the Third Proportional to 21,905 and 47,639

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Solution

The third proportional to 21,905 and 47,639 is: 103,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905 : 47,639 = 47,639 : x
  2. Step 2: Convert to fraction form
    21,905/47,639 = 47,639/x
  3. Step 3: Cross multiply
    21,905x = 47,639 × 47,639
  4. Step 4: Simplify right side
    21,905x = 2,269,474,321
  5. Step 5: Solve for x
    x = 2,269,474,321/21,905
  6. Step 6: Final answer
    x = 103,605.31

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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.