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Finding the Third Proportional to 33,404 and 77,678

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Solution

The third proportional to 33,404 and 77,678 is: 180,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,404 : 77,678 = 77,678 : x
  2. Step 2: Convert to fraction form
    33,404/77,678 = 77,678/x
  3. Step 3: Cross multiply
    33,404x = 77,678 × 77,678
  4. Step 4: Simplify right side
    33,404x = 6,033,871,684
  5. Step 5: Solve for x
    x = 6,033,871,684/33,404
  6. Step 6: Final answer
    x = 180,633.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.