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Finding the Third Proportional to 45,200 and 68,980

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Solution

The third proportional to 45,200 and 68,980 is: 105,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,200 : 68,980 = 68,980 : x
  2. Step 2: Convert to fraction form
    45,200/68,980 = 68,980/x
  3. Step 3: Cross multiply
    45,200x = 68,980 × 68,980
  4. Step 4: Simplify right side
    45,200x = 4,758,240,400
  5. Step 5: Solve for x
    x = 4,758,240,400/45,200
  6. Step 6: Final answer
    x = 105,270.81

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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.