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Finding the Third Proportional to 70,712 and 154,134

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Solution

The third proportional to 70,712 and 154,134 is: 335,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,712 : 154,134 = 154,134 : x
  2. Step 2: Convert to fraction form
    70,712/154,134 = 154,134/x
  3. Step 3: Cross multiply
    70,712x = 154,134 × 154,134
  4. Step 4: Simplify right side
    70,712x = 23,757,289,956
  5. Step 5: Solve for x
    x = 23,757,289,956/70,712
  6. Step 6: Final answer
    x = 335,972.54

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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.