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Finding the Third Proportional to 76,608 and 168,309

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Solution

The third proportional to 76,608 and 168,309 is: 369,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608 : 168,309 = 168,309 : x
  2. Step 2: Convert to fraction form
    76,608/168,309 = 168,309/x
  3. Step 3: Cross multiply
    76,608x = 168,309 × 168,309
  4. Step 4: Simplify right side
    76,608x = 28,327,919,481
  5. Step 5: Solve for x
    x = 28,327,919,481/76,608
  6. Step 6: Final answer
    x = 369,777.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.