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Finding the Third Proportional to 66,284 and 140,244

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Solution

The third proportional to 66,284 and 140,244 is: 296,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,284 : 140,244 = 140,244 : x
  2. Step 2: Convert to fraction form
    66,284/140,244 = 140,244/x
  3. Step 3: Cross multiply
    66,284x = 140,244 × 140,244
  4. Step 4: Simplify right side
    66,284x = 19,668,379,536
  5. Step 5: Solve for x
    x = 19,668,379,536/66,284
  6. Step 6: Final answer
    x = 296,728.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.