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Finding the Third Proportional to 86,563.50 and 135,312.75

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Solution

The third proportional to 86,563.50 and 135,312.75 is: 211,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,563.50 : 135,312.75 = 135,312.75 : x
  2. Step 2: Convert to fraction form
    86,563.50/135,312.75 = 135,312.75/x
  3. Step 3: Cross multiply
    86,563.50x = 135,312.75 × 135,312.75
  4. Step 4: Simplify right side
    86,563.50x = 18,309,540,312.56
  5. Step 5: Solve for x
    x = 18,309,540,312.56/86,563.50
  6. Step 6: Final answer
    x = 211,515.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.