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Finding the Third Proportional to 86,314 and 135,628

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Solution

The third proportional to 86,314 and 135,628 is: 213,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,314 : 135,628 = 135,628 : x
  2. Step 2: Convert to fraction form
    86,314/135,628 = 135,628/x
  3. Step 3: Cross multiply
    86,314x = 135,628 × 135,628
  4. Step 4: Simplify right side
    86,314x = 18,394,954,384
  5. Step 5: Solve for x
    x = 18,394,954,384/86,314
  6. Step 6: Final answer
    x = 213,116.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.