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Finding the Third Proportional to 65,736.25 and 143,910.75

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Solution

The third proportional to 65,736.25 and 143,910.75 is: 315,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,736.25 : 143,910.75 = 143,910.75 : x
  2. Step 2: Convert to fraction form
    65,736.25/143,910.75 = 143,910.75/x
  3. Step 3: Cross multiply
    65,736.25x = 143,910.75 × 143,910.75
  4. Step 4: Simplify right side
    65,736.25x = 20,710,303,965.56
  5. Step 5: Solve for x
    x = 20,710,303,965.56/65,736.25
  6. Step 6: Final answer
    x = 315,051.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.