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Finding the Third Proportional to 28,676 and 69,743

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Solution

The third proportional to 28,676 and 69,743 is: 169,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,676 : 69,743 = 69,743 : x
  2. Step 2: Convert to fraction form
    28,676/69,743 = 69,743/x
  3. Step 3: Cross multiply
    28,676x = 69,743 × 69,743
  4. Step 4: Simplify right side
    28,676x = 4,864,086,049
  5. Step 5: Solve for x
    x = 4,864,086,049/28,676
  6. Step 6: Final answer
    x = 169,622.19

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.