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Finding the Third Proportional to 20,384 and 43,072

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Solution

The third proportional to 20,384 and 43,072 is: 91,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384 : 43,072 = 43,072 : x
  2. Step 2: Convert to fraction form
    20,384/43,072 = 43,072/x
  3. Step 3: Cross multiply
    20,384x = 43,072 × 43,072
  4. Step 4: Simplify right side
    20,384x = 1,855,197,184
  5. Step 5: Solve for x
    x = 1,855,197,184/20,384
  6. Step 6: Final answer
    x = 91,012.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.