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Finding the Third Proportional to 81,867 and 115,816.50

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Solution

The third proportional to 81,867 and 115,816.50 is: 163,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,867 : 115,816.50 = 115,816.50 : x
  2. Step 2: Convert to fraction form
    81,867/115,816.50 = 115,816.50/x
  3. Step 3: Cross multiply
    81,867x = 115,816.50 × 115,816.50
  4. Step 4: Simplify right side
    81,867x = 13,413,461,672.25
  5. Step 5: Solve for x
    x = 13,413,461,672.25/81,867
  6. Step 6: Final answer
    x = 163,844.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.