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Finding the Third Proportional to 86,284 and 135,381

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Solution

The third proportional to 86,284 and 135,381 is: 212,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,284 : 135,381 = 135,381 : x
  2. Step 2: Convert to fraction form
    86,284/135,381 = 135,381/x
  3. Step 3: Cross multiply
    86,284x = 135,381 × 135,381
  4. Step 4: Simplify right side
    86,284x = 18,328,015,161
  5. Step 5: Solve for x
    x = 18,328,015,161/86,284
  6. Step 6: Final answer
    x = 212,414.99

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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.