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Finding the Third Proportional to 76,800 and 166,656

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Solution

The third proportional to 76,800 and 166,656 is: 361,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 166,656 = 166,656 : x
  2. Step 2: Convert to fraction form
    76,800/166,656 = 166,656/x
  3. Step 3: Cross multiply
    76,800x = 166,656 × 166,656
  4. Step 4: Simplify right side
    76,800x = 27,774,222,336
  5. Step 5: Solve for x
    x = 27,774,222,336/76,800
  6. Step 6: Final answer
    x = 361,643.52

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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.