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Finding the Third Proportional to 9,521 and 20,500

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Solution

The third proportional to 9,521 and 20,500 is: 44,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521 : 20,500 = 20,500 : x
  2. Step 2: Convert to fraction form
    9,521/20,500 = 20,500/x
  3. Step 3: Cross multiply
    9,521x = 20,500 × 20,500
  4. Step 4: Simplify right side
    9,521x = 420,250,000
  5. Step 5: Solve for x
    x = 420,250,000/9,521
  6. Step 6: Final answer
    x = 44,139.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.