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Finding the Third Proportional to 70,971 and 154,542

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Solution

The third proportional to 70,971 and 154,542 is: 336,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971 : 154,542 = 154,542 : x
  2. Step 2: Convert to fraction form
    70,971/154,542 = 154,542/x
  3. Step 3: Cross multiply
    70,971x = 154,542 × 154,542
  4. Step 4: Simplify right side
    70,971x = 23,883,229,764
  5. Step 5: Solve for x
    x = 23,883,229,764/70,971
  6. Step 6: Final answer
    x = 336,520.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.