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Finding the Third Proportional to 45,450 and 69,762

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Solution

The third proportional to 45,450 and 69,762 is: 107,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,450 : 69,762 = 69,762 : x
  2. Step 2: Convert to fraction form
    45,450/69,762 = 69,762/x
  3. Step 3: Cross multiply
    45,450x = 69,762 × 69,762
  4. Step 4: Simplify right side
    45,450x = 4,866,736,644
  5. Step 5: Solve for x
    x = 4,866,736,644/45,450
  6. Step 6: Final answer
    x = 107,078.91

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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.