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Finding the Third Proportional to 20,393 and 43,000

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Solution

The third proportional to 20,393 and 43,000 is: 90,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393 : 43,000 = 43,000 : x
  2. Step 2: Convert to fraction form
    20,393/43,000 = 43,000/x
  3. Step 3: Cross multiply
    20,393x = 43,000 × 43,000
  4. Step 4: Simplify right side
    20,393x = 1,849,000,000
  5. Step 5: Solve for x
    x = 1,849,000,000/20,393
  6. Step 6: Final answer
    x = 90,668.37

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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.