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Finding the Third Proportional to 76,212 and 102,806

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Solution

The third proportional to 76,212 and 102,806 is: 138,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,212 : 102,806 = 102,806 : x
  2. Step 2: Convert to fraction form
    76,212/102,806 = 102,806/x
  3. Step 3: Cross multiply
    76,212x = 102,806 × 102,806
  4. Step 4: Simplify right side
    76,212x = 10,569,073,636
  5. Step 5: Solve for x
    x = 10,569,073,636/76,212
  6. Step 6: Final answer
    x = 138,679.91

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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.