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Finding the Third Proportional to 65,805 and 105,975

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Solution

The third proportional to 65,805 and 105,975 is: 170,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805 : 105,975 = 105,975 : x
  2. Step 2: Convert to fraction form
    65,805/105,975 = 105,975/x
  3. Step 3: Cross multiply
    65,805x = 105,975 × 105,975
  4. Step 4: Simplify right side
    65,805x = 11,230,700,625
  5. Step 5: Solve for x
    x = 11,230,700,625/65,805
  6. Step 6: Final answer
    x = 170,666.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.