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Finding the Third Proportional to 70,675 and 153,619

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Solution

The third proportional to 70,675 and 153,619 is: 333,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,675 : 153,619 = 153,619 : x
  2. Step 2: Convert to fraction form
    70,675/153,619 = 153,619/x
  3. Step 3: Cross multiply
    70,675x = 153,619 × 153,619
  4. Step 4: Simplify right side
    70,675x = 23,598,797,161
  5. Step 5: Solve for x
    x = 23,598,797,161/70,675
  6. Step 6: Final answer
    x = 333,905.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.