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Finding the Third Proportional to 30,777 and 66,735

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Solution

The third proportional to 30,777 and 66,735 is: 144,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777 : 66,735 = 66,735 : x
  2. Step 2: Convert to fraction form
    30,777/66,735 = 66,735/x
  3. Step 3: Cross multiply
    30,777x = 66,735 × 66,735
  4. Step 4: Simplify right side
    30,777x = 4,453,560,225
  5. Step 5: Solve for x
    x = 4,453,560,225/30,777
  6. Step 6: Final answer
    x = 144,704.17

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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.