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Finding the Third Proportional to 81,808 and 115,176

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Solution

The third proportional to 81,808 and 115,176 is: 162,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808 : 115,176 = 115,176 : x
  2. Step 2: Convert to fraction form
    81,808/115,176 = 115,176/x
  3. Step 3: Cross multiply
    81,808x = 115,176 × 115,176
  4. Step 4: Simplify right side
    81,808x = 13,265,510,976
  5. Step 5: Solve for x
    x = 13,265,510,976/81,808
  6. Step 6: Final answer
    x = 162,154.20

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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.