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Finding the Third Proportional to 86,286 and 185,378

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Solution

The third proportional to 86,286 and 185,378 is: 398,268.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,286 : 185,378 = 185,378 : x
  2. Step 2: Convert to fraction form
    86,286/185,378 = 185,378/x
  3. Step 3: Cross multiply
    86,286x = 185,378 × 185,378
  4. Step 4: Simplify right side
    86,286x = 34,365,002,884
  5. Step 5: Solve for x
    x = 34,365,002,884/86,286
  6. Step 6: Final answer
    x = 398,268.58

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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.