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Finding the Third Proportional to 86,472 and 186,286

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Solution

The third proportional to 86,472 and 186,286 is: 401,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,472 : 186,286 = 186,286 : x
  2. Step 2: Convert to fraction form
    86,472/186,286 = 186,286/x
  3. Step 3: Cross multiply
    86,472x = 186,286 × 186,286
  4. Step 4: Simplify right side
    86,472x = 34,702,473,796
  5. Step 5: Solve for x
    x = 34,702,473,796/86,472
  6. Step 6: Final answer
    x = 401,314.57

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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.