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Finding the Third Proportional to 86,316 and 135,631

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Solution

The third proportional to 86,316 and 135,631 is: 213,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,316 : 135,631 = 135,631 : x
  2. Step 2: Convert to fraction form
    86,316/135,631 = 135,631/x
  3. Step 3: Cross multiply
    86,316x = 135,631 × 135,631
  4. Step 4: Simplify right side
    86,316x = 18,395,768,161
  5. Step 5: Solve for x
    x = 18,395,768,161/86,316
  6. Step 6: Final answer
    x = 213,121.18

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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.