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Finding the Third Proportional to 20,590 and 43,609

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Solution

The third proportional to 20,590 and 43,609 is: 92,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590 : 43,609 = 43,609 : x
  2. Step 2: Convert to fraction form
    20,590/43,609 = 43,609/x
  3. Step 3: Cross multiply
    20,590x = 43,609 × 43,609
  4. Step 4: Simplify right side
    20,590x = 1,901,744,881
  5. Step 5: Solve for x
    x = 1,901,744,881/20,590
  6. Step 6: Final answer
    x = 92,362.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.