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Finding the Third Proportional to 66,777 and 136,028

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Solution

The third proportional to 66,777 and 136,028 is: 277,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,777 : 136,028 = 136,028 : x
  2. Step 2: Convert to fraction form
    66,777/136,028 = 136,028/x
  3. Step 3: Cross multiply
    66,777x = 136,028 × 136,028
  4. Step 4: Simplify right side
    66,777x = 18,503,616,784
  5. Step 5: Solve for x
    x = 18,503,616,784/66,777
  6. Step 6: Final answer
    x = 277,095.66

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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.