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Finding the Third Proportional to 76,930 and 161,635

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Solution

The third proportional to 76,930 and 161,635 is: 339,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,930 : 161,635 = 161,635 : x
  2. Step 2: Convert to fraction form
    76,930/161,635 = 161,635/x
  3. Step 3: Cross multiply
    76,930x = 161,635 × 161,635
  4. Step 4: Simplify right side
    76,930x = 26,125,873,225
  5. Step 5: Solve for x
    x = 26,125,873,225/76,930
  6. Step 6: Final answer
    x = 339,605.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.