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Finding the Third Proportional to 69,278 and 149,610

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Solution

The third proportional to 69,278 and 149,610 is: 323,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,278 : 149,610 = 149,610 : x
  2. Step 2: Convert to fraction form
    69,278/149,610 = 149,610/x
  3. Step 3: Cross multiply
    69,278x = 149,610 × 149,610
  4. Step 4: Simplify right side
    69,278x = 22,383,152,100
  5. Step 5: Solve for x
    x = 22,383,152,100/69,278
  6. Step 6: Final answer
    x = 323,091.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.