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Finding the Third Proportional to 81,756 and 170,937

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Solution

The third proportional to 81,756 and 170,937 is: 357,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,756 : 170,937 = 170,937 : x
  2. Step 2: Convert to fraction form
    81,756/170,937 = 170,937/x
  3. Step 3: Cross multiply
    81,756x = 170,937 × 170,937
  4. Step 4: Simplify right side
    81,756x = 29,219,457,969
  5. Step 5: Solve for x
    x = 29,219,457,969/81,756
  6. Step 6: Final answer
    x = 357,398.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.