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Finding the Third Proportional to 70,419 and 146,643

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Solution

The third proportional to 70,419 and 146,643 is: 305,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,419 : 146,643 = 146,643 : x
  2. Step 2: Convert to fraction form
    70,419/146,643 = 146,643/x
  3. Step 3: Cross multiply
    70,419x = 146,643 × 146,643
  4. Step 4: Simplify right side
    70,419x = 21,504,169,449
  5. Step 5: Solve for x
    x = 21,504,169,449/70,419
  6. Step 6: Final answer
    x = 305,374.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.