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Finding the Third Proportional to 76,328 and 102,828

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Solution

The third proportional to 76,328 and 102,828 is: 138,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,328 : 102,828 = 102,828 : x
  2. Step 2: Convert to fraction form
    76,328/102,828 = 102,828/x
  3. Step 3: Cross multiply
    76,328x = 102,828 × 102,828
  4. Step 4: Simplify right side
    76,328x = 10,573,597,584
  5. Step 5: Solve for x
    x = 10,573,597,584/76,328
  6. Step 6: Final answer
    x = 138,528.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.