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Finding the Third Proportional to 76,728 and 166,578

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Solution

The third proportional to 76,728 and 166,578 is: 361,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728 : 166,578 = 166,578 : x
  2. Step 2: Convert to fraction form
    76,728/166,578 = 166,578/x
  3. Step 3: Cross multiply
    76,728x = 166,578 × 166,578
  4. Step 4: Simplify right side
    76,728x = 27,748,230,084
  5. Step 5: Solve for x
    x = 27,748,230,084/76,728
  6. Step 6: Final answer
    x = 361,644.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.