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Finding the Third Proportional to 86,282 and 135,378

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Solution

The third proportional to 86,282 and 135,378 is: 212,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,282 : 135,378 = 135,378 : x
  2. Step 2: Convert to fraction form
    86,282/135,378 = 135,378/x
  3. Step 3: Cross multiply
    86,282x = 135,378 × 135,378
  4. Step 4: Simplify right side
    86,282x = 18,327,202,884
  5. Step 5: Solve for x
    x = 18,327,202,884/86,282
  6. Step 6: Final answer
    x = 212,410.50

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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.