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Finding the Third Proportional to 66,817.94 and 134,729.38

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Solution

The third proportional to 66,817.94 and 134,729.38 is: 271,663.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,817.94 : 134,729.38 = 134,729.38 : x
  2. Step 2: Convert to fraction form
    66,817.94/134,729.38 = 134,729.38/x
  3. Step 3: Cross multiply
    66,817.94x = 134,729.38 × 134,729.38
  4. Step 4: Simplify right side
    66,817.94x = 18,152,004,487.89
  5. Step 5: Solve for x
    x = 18,152,004,487.89/66,817.94
  6. Step 6: Final answer
    x = 271,663.65

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.