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Finding the Third Proportional to 86,392.13 and 135,231.33

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Solution

The third proportional to 86,392.13 and 135,231.33 is: 211,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,392.13 : 135,231.33 = 135,231.33 : x
  2. Step 2: Convert to fraction form
    86,392.13/135,231.33 = 135,231.33/x
  3. Step 3: Cross multiply
    86,392.13x = 135,231.33 × 135,231.33
  4. Step 4: Simplify right side
    86,392.13x = 18,287,512,106.45
  5. Step 5: Solve for x
    x = 18,287,512,106.45/86,392.13
  6. Step 6: Final answer
    x = 211,680.31

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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.