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Finding the Third Proportional to 20,500 and 30,750

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Solution

The third proportional to 20,500 and 30,750 is: 46,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500 : 30,750 = 30,750 : x
  2. Step 2: Convert to fraction form
    20,500/30,750 = 30,750/x
  3. Step 3: Cross multiply
    20,500x = 30,750 × 30,750
  4. Step 4: Simplify right side
    20,500x = 945,562,500
  5. Step 5: Solve for x
    x = 945,562,500/20,500
  6. Step 6: Final answer
    x = 46,125

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.