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Finding the Third Proportional to 86,751 and 189,219

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Solution

The third proportional to 86,751 and 189,219 is: 412,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,751 : 189,219 = 189,219 : x
  2. Step 2: Convert to fraction form
    86,751/189,219 = 189,219/x
  3. Step 3: Cross multiply
    86,751x = 189,219 × 189,219
  4. Step 4: Simplify right side
    86,751x = 35,803,829,961
  5. Step 5: Solve for x
    x = 35,803,829,961/86,751
  6. Step 6: Final answer
    x = 412,719.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.