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Finding the Third Proportional to 65,821.36 and 134,757.42

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Solution

The third proportional to 65,821.36 and 134,757.42 is: 275,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821.36 : 134,757.42 = 134,757.42 : x
  2. Step 2: Convert to fraction form
    65,821.36/134,757.42 = 134,757.42/x
  3. Step 3: Cross multiply
    65,821.36x = 134,757.42 × 134,757.42
  4. Step 4: Simplify right side
    65,821.36x = 18,159,562,750.40
  5. Step 5: Solve for x
    x = 18,159,562,750.40/65,821.36
  6. Step 6: Final answer
    x = 275,891.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.