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Finding the Third Proportional to 36,072 and 77,976

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Solution

The third proportional to 36,072 and 77,976 is: 168,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,072 : 77,976 = 77,976 : x
  2. Step 2: Convert to fraction form
    36,072/77,976 = 77,976/x
  3. Step 3: Cross multiply
    36,072x = 77,976 × 77,976
  4. Step 4: Simplify right side
    36,072x = 6,080,256,576
  5. Step 5: Solve for x
    x = 6,080,256,576/36,072
  6. Step 6: Final answer
    x = 168,558.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.