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Finding the Third Proportional to 51,132 and 111,736.50

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Solution

The third proportional to 51,132 and 111,736.50 is: 244,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132 : 111,736.50 = 111,736.50 : x
  2. Step 2: Convert to fraction form
    51,132/111,736.50 = 111,736.50/x
  3. Step 3: Cross multiply
    51,132x = 111,736.50 × 111,736.50
  4. Step 4: Simplify right side
    51,132x = 12,485,045,432.25
  5. Step 5: Solve for x
    x = 12,485,045,432.25/51,132
  6. Step 6: Final answer
    x = 244,172.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.