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Finding the Third Proportional to 66,278 and 142,372

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Solution

The third proportional to 66,278 and 142,372 is: 305,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,278 : 142,372 = 142,372 : x
  2. Step 2: Convert to fraction form
    66,278/142,372 = 142,372/x
  3. Step 3: Cross multiply
    66,278x = 142,372 × 142,372
  4. Step 4: Simplify right side
    66,278x = 20,269,786,384
  5. Step 5: Solve for x
    x = 20,269,786,384/66,278
  6. Step 6: Final answer
    x = 305,829.78

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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.