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Finding the Third Proportional to 67,305.75 and 145,755.75

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Solution

The third proportional to 67,305.75 and 145,755.75 is: 315,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,305.75 : 145,755.75 = 145,755.75 : x
  2. Step 2: Convert to fraction form
    67,305.75/145,755.75 = 145,755.75/x
  3. Step 3: Cross multiply
    67,305.75x = 145,755.75 × 145,755.75
  4. Step 4: Simplify right side
    67,305.75x = 21,244,738,658.06
  5. Step 5: Solve for x
    x = 21,244,738,658.06/67,305.75
  6. Step 6: Final answer
    x = 315,645.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.