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Finding the Third Proportional to 66,284 and 142,384

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Solution

The third proportional to 66,284 and 142,384 is: 305,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,284 : 142,384 = 142,384 : x
  2. Step 2: Convert to fraction form
    66,284/142,384 = 142,384/x
  3. Step 3: Cross multiply
    66,284x = 142,384 × 142,384
  4. Step 4: Simplify right side
    66,284x = 20,273,203,456
  5. Step 5: Solve for x
    x = 20,273,203,456/66,284
  6. Step 6: Final answer
    x = 305,853.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.