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Finding the Third Proportional to 76,800 and 104,184

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Solution

The third proportional to 76,800 and 104,184 is: 141,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 104,184 = 104,184 : x
  2. Step 2: Convert to fraction form
    76,800/104,184 = 104,184/x
  3. Step 3: Cross multiply
    76,800x = 104,184 × 104,184
  4. Step 4: Simplify right side
    76,800x = 10,854,305,856
  5. Step 5: Solve for x
    x = 10,854,305,856/76,800
  6. Step 6: Final answer
    x = 141,332.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.