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Finding the Third Proportional to 86,771.39 and 131,081.70

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Solution

The third proportional to 86,771.39 and 131,081.70 is: 198,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,771.39 : 131,081.70 = 131,081.70 : x
  2. Step 2: Convert to fraction form
    86,771.39/131,081.70 = 131,081.70/x
  3. Step 3: Cross multiply
    86,771.39x = 131,081.70 × 131,081.70
  4. Step 4: Simplify right side
    86,771.39x = 17,182,410,846.00
  5. Step 5: Solve for x
    x = 17,182,410,846.00/86,771.39
  6. Step 6: Final answer
    x = 198,019.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.