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Finding the Third Proportional to 76,409 and 168,049

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Solution

The third proportional to 76,409 and 168,049 is: 369,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,409 : 168,049 = 168,049 : x
  2. Step 2: Convert to fraction form
    76,409/168,049 = 168,049/x
  3. Step 3: Cross multiply
    76,409x = 168,049 × 168,049
  4. Step 4: Simplify right side
    76,409x = 28,240,466,401
  5. Step 5: Solve for x
    x = 28,240,466,401/76,409
  6. Step 6: Final answer
    x = 369,596.07

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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.