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Finding the Third Proportional to 86,698 and 189,272

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Solution

The third proportional to 86,698 and 189,272 is: 413,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,698 : 189,272 = 189,272 : x
  2. Step 2: Convert to fraction form
    86,698/189,272 = 189,272/x
  3. Step 3: Cross multiply
    86,698x = 189,272 × 189,272
  4. Step 4: Simplify right side
    86,698x = 35,823,889,984
  5. Step 5: Solve for x
    x = 35,823,889,984/86,698
  6. Step 6: Final answer
    x = 413,203.19

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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.