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Finding the Third Proportional to 66,321 and 136,530

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Solution

The third proportional to 66,321 and 136,530 is: 281,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,321 : 136,530 = 136,530 : x
  2. Step 2: Convert to fraction form
    66,321/136,530 = 136,530/x
  3. Step 3: Cross multiply
    66,321x = 136,530 × 136,530
  4. Step 4: Simplify right side
    66,321x = 18,640,440,900
  5. Step 5: Solve for x
    x = 18,640,440,900/66,321
  6. Step 6: Final answer
    x = 281,063.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.