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Finding the Third Proportional to 86,625 and 186,642

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Solution

The third proportional to 86,625 and 186,642 is: 402,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,625 : 186,642 = 186,642 : x
  2. Step 2: Convert to fraction form
    86,625/186,642 = 186,642/x
  3. Step 3: Cross multiply
    86,625x = 186,642 × 186,642
  4. Step 4: Simplify right side
    86,625x = 34,835,236,164
  5. Step 5: Solve for x
    x = 34,835,236,164/86,625
  6. Step 6: Final answer
    x = 402,138.37

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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.