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Finding the Third Proportional to 79,380 and 108,102

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Solution

The third proportional to 79,380 and 108,102 is: 147,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,380 : 108,102 = 108,102 : x
  2. Step 2: Convert to fraction form
    79,380/108,102 = 108,102/x
  3. Step 3: Cross multiply
    79,380x = 108,102 × 108,102
  4. Step 4: Simplify right side
    79,380x = 11,686,042,404
  5. Step 5: Solve for x
    x = 11,686,042,404/79,380
  6. Step 6: Final answer
    x = 147,216.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.