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Finding the Third Proportional to 36,684 and 78,984

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Solution

The third proportional to 36,684 and 78,984 is: 170,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,684 : 78,984 = 78,984 : x
  2. Step 2: Convert to fraction form
    36,684/78,984 = 78,984/x
  3. Step 3: Cross multiply
    36,684x = 78,984 × 78,984
  4. Step 4: Simplify right side
    36,684x = 6,238,472,256
  5. Step 5: Solve for x
    x = 6,238,472,256/36,684
  6. Step 6: Final answer
    x = 170,059.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.