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Finding the Third Proportional to 86,998.50 and 115,674.75

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Solution

The third proportional to 86,998.50 and 115,674.75 is: 153,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,998.50 : 115,674.75 = 115,674.75 : x
  2. Step 2: Convert to fraction form
    86,998.50/115,674.75 = 115,674.75/x
  3. Step 3: Cross multiply
    86,998.50x = 115,674.75 × 115,674.75
  4. Step 4: Simplify right side
    86,998.50x = 13,380,647,787.56
  5. Step 5: Solve for x
    x = 13,380,647,787.56/86,998.50
  6. Step 6: Final answer
    x = 153,803.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.