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Finding the Third Proportional to 80,580 and 107,694

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Solution

The third proportional to 80,580 and 107,694 is: 143,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580 : 107,694 = 107,694 : x
  2. Step 2: Convert to fraction form
    80,580/107,694 = 107,694/x
  3. Step 3: Cross multiply
    80,580x = 107,694 × 107,694
  4. Step 4: Simplify right side
    80,580x = 11,597,997,636
  5. Step 5: Solve for x
    x = 11,597,997,636/80,580
  6. Step 6: Final answer
    x = 143,931.47

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.