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Finding the Third Proportional to 8,230 and 15,920

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Solution

The third proportional to 8,230 and 15,920 is: 30,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230 : 15,920 = 15,920 : x
  2. Step 2: Convert to fraction form
    8,230/15,920 = 15,920/x
  3. Step 3: Cross multiply
    8,230x = 15,920 × 15,920
  4. Step 4: Simplify right side
    8,230x = 253,446,400
  5. Step 5: Solve for x
    x = 253,446,400/8,230
  6. Step 6: Final answer
    x = 30,795.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.