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Finding the Third Proportional to 15,400 and 24,800

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Solution

The third proportional to 15,400 and 24,800 is: 39,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400 : 24,800 = 24,800 : x
  2. Step 2: Convert to fraction form
    15,400/24,800 = 24,800/x
  3. Step 3: Cross multiply
    15,400x = 24,800 × 24,800
  4. Step 4: Simplify right side
    15,400x = 615,040,000
  5. Step 5: Solve for x
    x = 615,040,000/15,400
  6. Step 6: Final answer
    x = 39,937.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.