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Finding the Third Proportional to 20,770 and 31,767

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Solution

The third proportional to 20,770 and 31,767 is: 48,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770 : 31,767 = 31,767 : x
  2. Step 2: Convert to fraction form
    20,770/31,767 = 31,767/x
  3. Step 3: Cross multiply
    20,770x = 31,767 × 31,767
  4. Step 4: Simplify right side
    20,770x = 1,009,142,289
  5. Step 5: Solve for x
    x = 1,009,142,289/20,770
  6. Step 6: Final answer
    x = 48,586.53

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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.