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Finding the Third Proportional to 34,678 and 74,619

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Solution

The third proportional to 34,678 and 74,619 is: 160,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,678 : 74,619 = 74,619 : x
  2. Step 2: Convert to fraction form
    34,678/74,619 = 74,619/x
  3. Step 3: Cross multiply
    34,678x = 74,619 × 74,619
  4. Step 4: Simplify right side
    34,678x = 5,567,995,161
  5. Step 5: Solve for x
    x = 5,567,995,161/34,678
  6. Step 6: Final answer
    x = 160,562.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.