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Finding the Third Proportional to 66,825 and 136,113.75

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Solution

The third proportional to 66,825 and 136,113.75 is: 277,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825 : 136,113.75 = 136,113.75 : x
  2. Step 2: Convert to fraction form
    66,825/136,113.75 = 136,113.75/x
  3. Step 3: Cross multiply
    66,825x = 136,113.75 × 136,113.75
  4. Step 4: Simplify right side
    66,825x = 18,526,952,939.06
  5. Step 5: Solve for x
    x = 18,526,952,939.06/66,825
  6. Step 6: Final answer
    x = 277,245.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.