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Finding the Third Proportional to 129,633.75 and 199,982.25

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Solution

The third proportional to 129,633.75 and 199,982.25 is: 308,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,633.75 : 199,982.25 = 199,982.25 : x
  2. Step 2: Convert to fraction form
    129,633.75/199,982.25 = 199,982.25/x
  3. Step 3: Cross multiply
    129,633.75x = 199,982.25 × 199,982.25
  4. Step 4: Simplify right side
    129,633.75x = 39,992,900,315.06
  5. Step 5: Solve for x
    x = 39,992,900,315.06/129,633.75
  6. Step 6: Final answer
    x = 308,506.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.