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Finding the Third Proportional to 70,455 and 145,568

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Solution

The third proportional to 70,455 and 145,568 is: 300,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,455 : 145,568 = 145,568 : x
  2. Step 2: Convert to fraction form
    70,455/145,568 = 145,568/x
  3. Step 3: Cross multiply
    70,455x = 145,568 × 145,568
  4. Step 4: Simplify right side
    70,455x = 21,190,042,624
  5. Step 5: Solve for x
    x = 21,190,042,624/70,455
  6. Step 6: Final answer
    x = 300,759.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.