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Finding the Third Proportional to 20,768 and 31,800

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Solution

The third proportional to 20,768 and 31,800 is: 48,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768 : 31,800 = 31,800 : x
  2. Step 2: Convert to fraction form
    20,768/31,800 = 31,800/x
  3. Step 3: Cross multiply
    20,768x = 31,800 × 31,800
  4. Step 4: Simplify right side
    20,768x = 1,011,240,000
  5. Step 5: Solve for x
    x = 1,011,240,000/20,768
  6. Step 6: Final answer
    x = 48,692.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.