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Finding the Third Proportional to 5,860 and 12,920

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Solution

The third proportional to 5,860 and 12,920 is: 28,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860 : 12,920 = 12,920 : x
  2. Step 2: Convert to fraction form
    5,860/12,920 = 12,920/x
  3. Step 3: Cross multiply
    5,860x = 12,920 × 12,920
  4. Step 4: Simplify right side
    5,860x = 166,926,400
  5. Step 5: Solve for x
    x = 166,926,400/5,860
  6. Step 6: Final answer
    x = 28,485.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.