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Finding the Third Proportional to 86,887 and 189,326

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Solution

The third proportional to 86,887 and 189,326 is: 412,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,887 : 189,326 = 189,326 : x
  2. Step 2: Convert to fraction form
    86,887/189,326 = 189,326/x
  3. Step 3: Cross multiply
    86,887x = 189,326 × 189,326
  4. Step 4: Simplify right side
    86,887x = 35,844,334,276
  5. Step 5: Solve for x
    x = 35,844,334,276/86,887
  6. Step 6: Final answer
    x = 412,539.67

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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.