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Finding the Third Proportional to 86,478 and 186,296

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Solution

The third proportional to 86,478 and 186,296 is: 401,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,478 : 186,296 = 186,296 : x
  2. Step 2: Convert to fraction form
    86,478/186,296 = 186,296/x
  3. Step 3: Cross multiply
    86,478x = 186,296 × 186,296
  4. Step 4: Simplify right side
    86,478x = 34,706,199,616
  5. Step 5: Solve for x
    x = 34,706,199,616/86,478
  6. Step 6: Final answer
    x = 401,329.81

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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.