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Finding the Third Proportional to 80,781.75 and 172,558.97

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Solution

The third proportional to 80,781.75 and 172,558.97 is: 368,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,781.75 : 172,558.97 = 172,558.97 : x
  2. Step 2: Convert to fraction form
    80,781.75/172,558.97 = 172,558.97/x
  3. Step 3: Cross multiply
    80,781.75x = 172,558.97 × 172,558.97
  4. Step 4: Simplify right side
    80,781.75x = 29,776,597,696.06
  5. Step 5: Solve for x
    x = 29,776,597,696.06/80,781.75
  6. Step 6: Final answer
    x = 368,605.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.