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Finding the Third Proportional to 86,310 and 135,621

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Solution

The third proportional to 86,310 and 135,621 is: 213,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,310 : 135,621 = 135,621 : x
  2. Step 2: Convert to fraction form
    86,310/135,621 = 135,621/x
  3. Step 3: Cross multiply
    86,310x = 135,621 × 135,621
  4. Step 4: Simplify right side
    86,310x = 18,393,055,641
  5. Step 5: Solve for x
    x = 18,393,055,641/86,310
  6. Step 6: Final answer
    x = 213,104.57

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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.