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Finding the Third Proportional to 86,468 and 189,338

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Solution

The third proportional to 86,468 and 189,338 is: 414,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,468 : 189,338 = 189,338 : x
  2. Step 2: Convert to fraction form
    86,468/189,338 = 189,338/x
  3. Step 3: Cross multiply
    86,468x = 189,338 × 189,338
  4. Step 4: Simplify right side
    86,468x = 35,848,878,244
  5. Step 5: Solve for x
    x = 35,848,878,244/86,468
  6. Step 6: Final answer
    x = 414,591.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.