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Finding the Third Proportional to 86,694 and 186,321

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Solution

The third proportional to 86,694 and 186,321 is: 400,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,694 : 186,321 = 186,321 : x
  2. Step 2: Convert to fraction form
    86,694/186,321 = 186,321/x
  3. Step 3: Cross multiply
    86,694x = 186,321 × 186,321
  4. Step 4: Simplify right side
    86,694x = 34,715,515,041
  5. Step 5: Solve for x
    x = 34,715,515,041/86,694
  6. Step 6: Final answer
    x = 400,437.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.